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So I threw some of my mods into a pack of which I've used before, and I'm now getting an error, and I'm almost certain extrautilities is the cause, but I don't know how to fix it. Can anyone provide some insight?
Here's the crash report:

---- Minecraft Crash Report ----
// My bad.

Time: 3/29/15 8:19 PM
Description: There was a severe problem during mod loading that has caused the game to fail

cpw.mods.fml.common.LoaderException: java.lang.NoClassDefFoundError: com/rwtema/extrautils/item/ItemHeatingCoil
at cpw.mods.fml.common.LoadController.transition(LoadController.java:162)
at cpw.mods.fml.common.Loader.preinitializeMods(Loader.java:515)
at cpw.mods.fml.client.FMLClientHandler.beginMinecraftLoading(FMLClientHandler.java:239)
at net.minecraft.client.Minecraft.func_71384_a(Minecraft.java:480)
at net.minecraft.client.Minecraft.func_99999_d(Minecraft.java:867)
at net.minecraft.client.main.Main.main(SourceFile:148)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(Unknown Source)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(Unknown Source)
at java.lang.reflect.Method.invoke(Unknown Source)
at net.minecraft.launchwrapper.Launch.launch(Launch.java:135)
at net.minecraft.launchwrapper.Launch.main(Launch.java:28)
Caused by: java.lang.NoClassDefFoundError: com/rwtema/extrautils/item/ItemHeatingCoil
at com.rwtema.extrautils.ExtraUtilsMod.preInit(ExtraUtilsMod.java:35)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(Unknown Source)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(Unknown Source)
at java.lang.reflect.Method.invoke(Unknown Source)
at cpw.mods.fml.common.FMLModContainer.handleModStateEvent(FMLModContainer.java:513)
at sun.reflect.GeneratedMethodAccessor3.invoke(Unknown Source)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(Unknown Source)
at java.lang.reflect.Method.invoke(Unknown Source)
at com.google.common.eventbus.EventSubscriber.handleEvent(EventSubscriber.java:74)
at com.google.common.eventbus.SynchronizedEventSubscriber.handleEvent(SynchronizedEventSubscriber.java:47)
at com.google.common.eventbus.EventBus.dispatch(EventBus.java:322)
at com.google.common.eventbus.EventBus.dispatchQueuedEvents(EventBus.java:304)
at com.google.common.eventbus.EventBus.post(EventBus.java:275)
at cpw.mods.fml.common.LoadController.sendEventToModContainer(LoadController.java:208)
at cpw.mods.fml.common.LoadController.propogateStateMessage(LoadController.java:187)
at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
at sun.reflect.NativeMethodAccessorImpl.invoke(Unknown Source)
at sun.reflect.DelegatingMethodAccessorImpl.invoke(Unknown Source)
at java.lang.reflect.Method.invoke(Unknown Source)
at com.google.common.eventbus.EventSubscriber.handleEvent(EventSubscriber.java:74)
at com.google.common.eventbus.SynchronizedEventSubscriber.handleEvent(SynchronizedEventSubscriber.java:47)
at com.google.common.eventbus.EventBus.dispatch(EventBus.java:322)
at com.google.common.eventbus.EventBus.dispatchQueuedEvents(EventBus.java:304)
at com.google.common.eventbus.EventBus.post(EventBus.java:275)
at cpw.mods.fml.common.LoadController.distributeStateMessage(LoadController.java:118)
at cpw.mods.fml.common.Loader.preinitializeMods(Loader.java:513)
... 10 more
Caused by: java.lang.ClassNotFoundException: com.rwtema.extrautils.item.ItemHeatingCoil
at net.minecraft.launchwrapper.LaunchClassLoader.findClass(LaunchClassLoader.java:191)
at java.lang.ClassLoader.loadClass(Unknown Source)
at java.lang.ClassLoader.loadClass(Unknown Source)
... 37 more
Caused by: java.lang.NoClassDefFoundError: cofh/api/energy/ItemEnergyContainer
at java.lang.ClassLoader.defineClass1(Native Method)
at java.lang.ClassLoader.defineClass(Unknown Source)
at java.security.SecureClassLoader.defineClass(Unknown Source)
at net.minecraft.launchwrapper.LaunchClassLoader.findClass(LaunchClassLoader.java:182)
... 39 more
Caused by: java.lang.ClassNotFoundException: cofh.api.energy.ItemEnergyContainer
at net.minecraft.launchwrapper.LaunchClassLoader.findClass(LaunchClassLoader.java:101)
at java.lang.ClassLoader.loadClass(Unknown Source)
at java.lang.ClassLoader.loadClass(Unknown Source)
... 43 more

A detailed walkthrough of the error, its code path and all known details is as follows:
---------------------------------------------------------------------------------------

-- System Details --
Details:
Minecraft Version: 1.7.10
Operating System: Windows 8.1 (x86) version 6.3
Java Version: 1.8.0_31, Oracle Corporation
Java VM Version: Java HotSpot(TM) Client VM (mixed mode), Oracle Corporation
Memory: 124035896 bytes (118 MB) / 239357952 bytes (228 MB) up to 1037959168 bytes (989 MB)
JVM Flags: 2 total; -XX:HeapDumpPath=MojangTricksIntelDriversForPerformance_javaw.exe_minecraft.exe.heapdump -Xmx1G
AABB Pool Size: 0 (0 bytes; 0 MB) allocated, 0 (0 bytes; 0 MB) used
IntCache: cache: 0, tcache: 0, allocated: 0, tallocated: 0
FML: MCP v9.05 FML v7.10.85.1291 Minecraft Forge 10.13.2.1291 19 mods loaded, 19 mods active
mcp{9.05} [Minecraft Coder Pack] (minecraft.jar) Unloaded->Constructed->Pre-initialized
FML{7.10.85.1291} [Forge Mod Loader] (forge-1.7.10-10.13.2.1291.jar) Unloaded->Constructed->Pre-initialized
Forge{10.13.2.1291} [Minecraft Forge] (forge-1.7.10-10.13.2.1291.jar) Unloaded->Constructed->Pre-initialized
CodeChickenCore{1.0.4.29} [CodeChicken Core] (minecraft.jar) Unloaded->Constructed->Pre-initialized
NotEnoughItems{1.0.3.74} [Not Enough Items] (NotEnoughItems-1.7.10-1.0.3.74-universal.jar) Unloaded->Constructed->Pre-initialized
DamageIndicatorsMod{3.2.3} [Damage Indicators] ([1.7.10]DamageIndicatorsMod-3.2.3.jar) Unloaded->Constructed->Pre-initialized
AnimationAPI{1.2.3} [AnimationAPI] (AnimationAPI-1.7.10-1.2.3.jar) Unloaded->Constructed->Pre-initialized
ChickenChunks{1.3.4.16} [ChickenChunks] (ChickenChunks-1.7.10-1.3.4.16-universal.jar) Unloaded->Constructed->Pre-initialized
EnderStorage{1.4.5.27} [EnderStorage] (EnderStorage-1.7.10-1.4.5.27-universal.jar) Unloaded->Constructed->Pre-initialized
MetallurgyCore{4.0.4} [Metallurgy Core] (MetallurgyCore-1.7.10-4.0.4.18 (1).jar) Unloaded->Constructed->Pre-initialized
Mantle{1.7.10-0.3.2.jenkins184} [Mantle] (Mantle-1.7.10-0.3.2.jar) Unloaded->Constructed->Pre-initialized
TConstruct{1.7.10-1.7.1.build771} [Tinkers' Construct] (TConstruct-1.7.10-1.7.1c.jar) Unloaded->Constructed->Pre-initialized
Metallurgy{4.0.6} [Metallurgy 4] (Metallurgy-1.7.10-4.0.6.80 (1).jar) Unloaded->Constructed->Pre-initialized
Natura{2.2.0} [Natura] (natura-1.7.10-2.2.0.1.jar) Unloaded->Constructed->Pre-initialized
ExtraTiC{0.8.4} [ExtraTiC] (ExtraTiC-1.7.10-1.0.3.jar) Unloaded->Constructed->Pre-initialized
ExtraUtilities{1.2.2} [Extra Utilities] (extrautilities-1.2.2.jar) Unloaded->Constructed->Errored
inventorytweaks{1.58-147-645ca10} [Inventory Tweaks] (InventoryTweaks-1.58-147.jar) Unloaded->Constructed->Pre-initialized
IronChest{6.0.62.742} [Iron Chest] (ironchest-1.7.10-6.0.62.742-universal.jar) Unloaded->Constructed->Pre-initialized
voxelmap{1.7.10} [VoxelMap No Radar] (voxelmapNoRadar-1.7.10-1.0.jar) Unloaded->Constructed->Pre-initialized
Mantle Environment: Environment healthy.
TConstruct Environment: Environment healthy.

Version 1.2.2 of EU is for MC 1.7.10, but RWTema won't provide what version of FML or Forge is used for his updates. Assuming latest?
However, 'cause I don't know ther version of FML/Forge for EU I would need to test every combination.

I need Extra Utilities for FML v.7.10.85.1263 and Forge 10.13.2.1263

A wild guess is EU 1.1.0k (latest "old" version in his thread).

Edit: That version worked for me!