To solve the equation \(-x + 2 = 15\), follow these steps:
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Subtract 2 from both sides of the equation: \[ -x + 2 - 2 = 15 - 2 \] This simplifies to: \[ -x = 13 \]
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To solve for \(x\), multiply both sides by -1: \[ x = -13 \]
So, the solution is \(x = -13\).