To simplify the expression \( 3x + (x + 2) \) using the associative property, we can regroup the terms. The associative property allows us to change the grouping of terms in an addition without changing the result.
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First, rewrite the expression: \[ 3x + (x + 2) \]
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By the associative property, we can remove the parentheses: \[ 3x + x + 2 \]
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Now, combine the like terms (\(3x\) and \(x\)): \[ (3x + x) + 2 = 4x + 2 \]
Thus, the simplified form of the expression \( 3x + (x + 2) \) is: \[ \boxed{4x + 2} \]
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