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400-x-7x\leq 0
Subtract 7x from both sides.
400-8x\leq 0
Combine -x and -7x to get -8x.
-8x\leq -400
Subtract 400 from both sides. Anything subtracted from zero gives its negation.
x\geq \frac{-400}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x\geq 50
Divide -400 by -8 to get 50.