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-8x+7\leq -7x+7
Use the distributive property to multiply -7 by x-1.
-8x+7+7x\leq 7
Add 7x to both sides.
-x+7\leq 7
Combine -8x and 7x to get -x.
-x\leq 7-7
Subtract 7 from both sides.
-x\leq 0
Subtract 7 from 7 to get 0.
x\geq 0
Product of two numbers is ≤0 if one is ≥0 and the other is ≤0. Since -1\leq 0, x must be ≥0.