To solve the equation \( \frac{1}{2}x + 27 = 59 \), follow these steps: 1. Subtract 27 from both sides of the equation: \[ \frac{1}{2}x + 27 - 27 = 59 - 27 \] This simplifies to: \[ \frac{1}{2}x = 32 \] 2. Next, multiply both sides by 2 to isolate \( x \): \[ 2 \cdot \frac{1}{2}x = 32 \cdot 2 \] This simplifies to: \[ x = 64 \] So, the solution is \( x = 64 \).