Answer
$(-∞,-7)\cup(-7,∞)$
Work Step by Step
We simplify as follows:
$-x\lt7$ or $3x+1\lt-20$
$x\gt-7$ or $3x\lt-21$
$x\gt-7$ or $x\lt-7$
$(-∞,-7)\cup(-7,∞)$
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