Answer
$x = 1$
Work Step by Step
$x^3 - 1 = 0$
$x^3 =1$
$(x^3)^{\frac{1}{3}} = (1^{\frac{1}{3}} $
$(x^3)^{\frac{1}{3}} = (1^3)^{\frac{1}{3}} $
$x = 1$
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