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2x+30-7x\geq 0
Subtract 7x from both sides.
-5x+30\geq 0
Combine 2x and -7x to get -5x.
-5x\geq -30
Subtract 30 from both sides. Anything subtracted from zero gives its negation.
x\leq \frac{-30}{-5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.
x\leq 6
Divide -30 by -5 to get 6.