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-5x+8+x\leq -24
Add x to both sides.
-4x+8\leq -24
Combine -5x and x to get -4x.
-4x\leq -24-8
Subtract 8 from both sides.
-4x\leq -32
Subtract 8 from -24 to get -32.
x\geq \frac{-32}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x\geq 8
Divide -32 by -4 to get 8.