To simplify the expression \( 3x + (x + 2) \) using the Associative Property, we can rearrange the terms without changing the result. The Associative Property states that when adding or multiplying, the grouping of the numbers does not affect the outcome.
Here’s how we can simplify the expression:
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First, rewrite the expression by removing the parentheses: \[ 3x + x + 2 \]
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Now, we can group the like terms (the \(x\) terms) together: \[ (3x + x) + 2 \]
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Now, add the coefficients of \(x\): \[ 4x + 2 \]
Thus, the simplest equivalent form of the expression \( 3x + (x + 2) \) is: \[ 4x + 2 \]
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