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-6x\leq 38-8
Subtract 8 from both sides.
-6x\leq 30
Subtract 8 from 38 to get 30.
x\geq \frac{30}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
x\geq -5
Divide 30 by -6 to get -5.