Answer
$x = -6$
Work Step by Step
$-7x^{3} = 1512$
$x^{3} = -216$
$x = -216^{\frac{1}{3}}$
$x = -6$
Check:
$ -7x^{3}$
$= -7(-6)^{3}$
$= -7(-216)$
$= 1512$
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