To solve the equation \( \frac{1}{2}x + 17 = 37 \), follow these steps:
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Subtract 17 from both sides of the equation: \[ \frac{1}{2}x + 17 - 17 = 37 - 17 \] This simplifies to: \[ \frac{1}{2}x = 20 \]
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Multiply both sides by 2 to isolate \( x \): \[ 2 \cdot \frac{1}{2}x = 2 \cdot 20 \] This simplifies to: \[ x = 40 \]
So, the solution is \( x = 40 \).