To solve the equation \(-2x + 7 = 21\), follow these steps:
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Subtract 7 from both sides: \[ -2x + 7 - 7 = 21 - 7 \] This simplifies to: \[ -2x = 14 \]
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Divide both sides by -2: \[ x = \frac{14}{-2} \] This simplifies to: \[ x = -7 \]
So, the solution is \(x = -7\).