Answer
$\{5\}$
Work Step by Step
Step 1. Rewrite the equation as $(3x+7)^{1/3}=(4x+2)^{1/3}$
Step 2. Raise both sides to the 3rd power to get: $3x+7=4x+2$ which gives $x=5$
Step 3. Check answer in the original equation: $\{5\}$ fits.
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