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Solve for x.
(1 + x)^(1/3) + (1 - x)^(1/3) = 2
(1 + x)^(1/3) + (1 - x)^(1/3) = 2
(1 + x)^(1/3) + (1 - x)^(1/3) = 2
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since we have addition on the left, equation will be true only if x=0