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-36x+42\leq -138
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-36x\leq -138-42
Subtract 42 from both sides.
-36x\leq -180
Subtract 42 from -138 to get -180.
x\geq \frac{-180}{-36}
Divide both sides by -36. Since -36 is negative, the inequality direction is changed.
x\geq 5
Divide -180 by -36 to get 5.