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x+2400-40x\leq 3200
Use the distributive property to multiply 40 by 60-x.
-39x+2400\leq 3200
Combine x and -40x to get -39x.
-39x\leq 3200-2400
Subtract 2400 from both sides.
-39x\leq 800
Subtract 2400 from 3200 to get 800.
x\geq -\frac{800}{39}
Divide both sides by -39. Since -39 is negative, the inequality direction is changed.