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-8x+1+7x\leq -9
Add 7x to both sides.
-x+1\leq -9
Combine -8x and 7x to get -x.
-x\leq -9-1
Subtract 1 from both sides.
-x\leq -10
Subtract 1 from -9 to get -10.
x\geq \frac{-10}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x\geq 10
Fraction \frac{-10}{-1} can be simplified to 10 by removing the negative sign from both the numerator and the denominator.