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9x-99-18x\geq 0
Subtract 18x from both sides.
-9x-99\geq 0
Combine 9x and -18x to get -9x.
-9x\geq 99
Add 99 to both sides. Anything plus zero gives itself.
x\leq \frac{99}{-9}
Divide both sides by -9. Since -9 is negative, the inequality direction is changed.
x\leq -11
Divide 99 by -9 to get -11.