Answer
The solution set is {$-1,2$}.
Work Step by Step
$|1-2x|+6=9$ Isolate the absolute value.
$|1-2x|=9-6$
$|1-2x|=3$
$1-2x=3$ or $1-2x=-3$
$-2x=2$ or $-2x=-4$
$x=-1$ or $x=2$
The solution set is {$-1,2$}.
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