To solve the equation \( 2(x + 7) = x + 17 \), follow these steps:
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Distribute the 2 on the left side: \[ 2x + 14 = x + 17 \]
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Subtract \( x \) from both sides to get all terms involving \( x \) on one side: \[ 2x - x + 14 = 17 \] This simplifies to: \[ x + 14 = 17 \]
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Subtract 14 from both sides: \[ x = 17 - 14 \] Simplifying this gives: \[ x = 3 \]
Thus, the solution to the equation is \( x = 3 \).