To solve for \( x \) in the equation \( 4(3x + 2) = 32 \), follow these steps:
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Start by simplifying the equation: \[ 4(3x + 2) = 32 \]
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Divide both sides of the equation by 4: \[ 3x + 2 = \frac{32}{4} \] \[ 3x + 2 = 8 \]
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Next, subtract 2 from both sides: \[ 3x = 8 - 2 \] \[ 3x = 6 \]
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Finally, divide both sides by 3: \[ x = \frac{6}{3} \] \[ x = 2 \]
The solution is: \[ \boxed{2} \]