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-x+7\leq 13
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-x\leq 13-7
Subtract 7 from both sides.
-x\leq 6
Subtract 7 from 13 to get 6.
x\geq -6
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.