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-6x+7\leq 7x+15
Combine 14x and -7x to get 7x.
-6x+7-7x\leq 15
Subtract 7x from both sides.
-13x+7\leq 15
Combine -6x and -7x to get -13x.
-13x\leq 15-7
Subtract 7 from both sides.
-13x\leq 8
Subtract 7 from 15 to get 8.
x\geq -\frac{8}{13}
Divide both sides by -13. Since -13 is negative, the inequality direction is changed.