ssleay32.dll missing

A friend of mine just bought Mass Effect and it doesn't launch. We've closed Origin and opened it with Administrator rights, still nothing.

When we right-clicked the MassEffect.exe in the Binaries map in Mass Effect we clicked troubleshoot compatibility. It said ssleay32.dll is missing.

I tried to locate the file and it seems that Origin's root map has ssleay32.dll and so does the x64 submap, so I don't really understand why it's saying it's missing that DLL file.

While comparing his Mass Effect folder with mine, I noticed that he had an additional map in his Binaries map which was called Core.

There was another ssleay32.dll file inside and none of these three DLL files were the same size.

For some reason he was also missing the MassEffectLauncher.exe, so I've send him mine + MassEffectLauncher.xml and the launcher map located in the data submap. The launcher was up and running, so we pressed play and it opened Origin to launch the game. Still the same problem, it wouldn't launch... just didn't do anything.

I opened MassEffectConfig.exe to see if there was something wrong with his version, but he has the same version as I do: V1.02.

We have the same operating system: Windows 7 64-bit.

I replaced all his ssleay32.dll files with mine with an exception on the ssleay32.dll located in his Core map, because I do not have this Core map in my Binaries map.

Does anyone have an idea what this could be?