To solve the equation \(-3x - 14 = 22\), follow these steps:
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Add 14 to both sides of the equation:
\[ -3x - 14 + 14 = 22 + 14 \] This simplifies to: \[ -3x = 36 \]
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Next, divide both sides by -3:
\[ x = \frac{36}{-3} \] This simplifies to: \[ x = -12 \]
Therefore, the solution is:
\[ \boxed{-12} \]