I don't want to contradict any of the previous comments / suggestions. But I want to suggest a different approach.
It could be more effective (having so many files infected that could also prevent Windows from even boot again) to start the system with some Live system CD/UFD and try to backup any relevant user data, like emails, contacts, documents and so on. Alternatively, a full backup image could be useful too (and even recommended).
Only after having a backup, try to work on cleaning the system. Whatever happens with the attempt (to recover), you would still have the source to start over with a second attempt, or to try to use the backup data (not executables) on a new clean system.
Of course, if you use the backed up data in any way, you need to scan the specific files you would want to use, so to be sure you wouldn't be re-inserting the malware again in a clean system.
As mentioned, this doesn't contradict any previous suggestion.