Toshiba e330, lockup then screen fade

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I bought a Toshiba e330 used, and since I've been using it,
occasionally it will lock up, then the screen will gradually fade to
blank. I've had this happen with two batteries, neither one of which I
can verify reliability (not new). Most times when this happened, I
could do a cold boot and then either re-sync or restore from the backup
on the SD card. Now, however, I cannot revive it at all. Anyone hava a
clue to what is causing this? I can purchase a fresh new battery, but
don't want to if this is not a battery problem. The last lockup, I
checked the battery charge and the indicator said 82%. This was moments
before the lockup. Any ideas?

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