To solve the equation \( \frac{1}{2}x + 4 = 10 \), follow these steps:
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Isolate the term with \( x \): \[ \frac{1}{2}x + 4 - 4 = 10 - 4 \] This simplifies to: \[ \frac{1}{2}x = 6 \]
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Eliminate the fraction by multiplying both sides by 2: \[ 2 \cdot \frac{1}{2}x = 2 \cdot 6 \] This simplifies to: \[ x = 12 \]
So, the solution is \( x = 12 \).