To solve the equation \(-2x + 6 = 10\), follow these steps:
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Subtract 6 from both sides: \[ -2x + 6 - 6 = 10 - 6 \] This simplifies to: \[ -2x = 4 \]
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Next, divide both sides by \(-2\): \[ x = \frac{4}{-2} \] This simplifies to: \[ x = -2 \]
So the solution to the equation \(-2x + 6 = 10\) is \(x = -2\).