To solve the equation \( \frac{1}{2}(4x - 4) = x + 3 \), follow these steps:
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First, simplify the left side of the equation: \[ \frac{1}{2}(4x - 4) = 2x - 2 \] Thus, the equation becomes: \[ 2x - 2 = x + 3 \]
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Next, isolate \(x\) by getting all terms involving \(x\) on one side and the constant terms on the other side: \[ 2x - x = 3 + 2 \] Simplifying this gives: \[ x = 5 \]
So, the solution is: \[ x = 5 \]