To solve the equation \(\frac{1}{2}x - 4 = 8\), follow these steps:
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Add 4 to both sides of the equation:
\[ \frac{1}{2}x - 4 + 4 = 8 + 4 \]
This simplifies to:
\[ \frac{1}{2}x = 12 \]
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Multiply both sides by 2 to eliminate the fraction:
\[ 2 \cdot \frac{1}{2}x = 12 \cdot 2 \]
This simplifies to:
\[ x = 24 \]
So, the solution is:
\[ x = 24 \]