To solve the equation \(-5x - 11 = 19\), follow these steps:
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Add 11 to both sides of the equation: \[ -5x - 11 + 11 = 19 + 11 \] This simplifies to: \[ -5x = 30 \]
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Now divide both sides by -5: \[ x = \frac{30}{-5} \] This simplifies to: \[ x = -6 \]
So the solution is: \[ \boxed{-6} \]