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50x+3520-80x\leq 4000
Use the distributive property to multiply 80 by 44-x.
-30x+3520\leq 4000
Combine 50x and -80x to get -30x.
-30x\leq 4000-3520
Subtract 3520 from both sides.
-30x\leq 480
Subtract 3520 from 4000 to get 480.
x\geq \frac{480}{-30}
Divide both sides by -30. Since -30 is negative, the inequality direction is changed.
x\geq -16
Divide 480 by -30 to get -16.