Boozer contributed 21 points and 10 rebounds for the Bulls, who improved to just 2-7 in their last nine road games against the Grizzlies.
Memphis was led by Mike Conley with 26 points.
James Johnson added 13 off the bench for the Grizzlies, who trailed by just four points in the third quarter before being outscored 16-2 en route to the loss.
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