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