No games left with: OAK, TEX, DET, CWS, CLE, MIN
As noted upthread, to win 90 they'll have to go 44-20 (.688). Playing .600 ball the rest of the way (39-25) gets them to 85 wins. To end up at .500 on the year, they'll have to finish 37-27 (.578).
The most dangerous part of the remaining schedule, IMO, may well be the inter-league slate. 8 games, all on the road with no DH, and against lineups that either mash or hit solidly in their home parks (PIT 2nd in NL OPS .272/.351/.393/.744, CIN 4th in NL OPS .250/.317/.411/.728, STL 7th in NL OPS .258/.330/.392/.723).
Yes, when healthy this Sox team is capable of getting insanely hot. But as much as I want to be an uber-optimist I've long been a faithful tither and communicant of the Our Lady of Shit Happens church, and I just don't think they can get hot enough to reach the promised land. So pencil me in for a 38-26 record the rest of the way (.594), finishing at 82-80 and out of the playoffs.