To solve the equation \(-4x - 10 = -2\), follow these steps:
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Add 10 to both sides to isolate the term with \(x\): \[ -4x - 10 + 10 = -2 + 10 \] This simplifies to: \[ -4x = 8 \]
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Divide both sides by -4 to solve for \(x\): \[ x = \frac{8}{-4} \] This simplifies to: \[ x = -2 \]
So, the solution to the equation is: \[ \boxed{-2} \]