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1+2x-7x\geq 11
Subtract 7x from both sides.
1-5x\geq 11
Combine 2x and -7x to get -5x.
-5x\geq 11-1
Subtract 1 from both sides.
-5x\geq 10
Subtract 1 from 11 to get 10.
x\leq \frac{10}{-5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.
x\leq -2
Divide 10 by -5 to get -2.