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-6x\geq 19-7
Subtract 7 from both sides.
-6x\geq 12
Subtract 7 from 19 to get 12.
x\leq \frac{12}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
x\leq -2
Divide 12 by -6 to get -2.