To solve the equation \( \frac{x}{2} = 20 \) using inverse operations, follow these steps:
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Identify the operation: The equation involves division by 2.
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Use the inverse operation: The inverse of division is multiplication. To eliminate the division, multiply both sides of the equation by 2.
\[ 2 \cdot \left(\frac{x}{2}\right) = 2 \cdot 20 \]
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Simplify both sides:
\[ x = 40 \]
Therefore, the solution is \( x = 40 \).