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after activation of file vault 2 I am unable to boot my computer, the apple sign turns into a prohibitory sign with a spinning circle beneath it , that spins forever. I really need the data on this computer :( and I can not afford the very expensive data recovery services . Does anyone know how I can overcome this problem or at least decrypt and save my data ?

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Did you write down the encryption key you got when FV was set up? – jtheman Mar 4 '13 at 0:25
You have a backup, right? – DrGuyBH Mar 4 '13 at 10:05

You can press the option + R key to boot into recovery mode. Then using Disk utility and follow this guide to decrypt the partition:

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Yes I have the encryption key but when in booting in recovery mode the option to unlock or decrypt is grayed out and unfortunately I have no backup of the data ( which is very important worth of 1.5 yrs of work my whole thesis and papers are in there). I just want to get my data out of ther safely . I will try using the command line if that is safe . I am very frustrated. – user44249 Mar 4 '13 at 14:39
I think calling Apple support would be the best way to proceed from here, even if you need to pay a little. 1,5 years of work and no backup... – jtheman Mar 4 '13 at 20:34

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