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9x+10400-13x\leq 7700
Use the distributive property to multiply 13 by 800-x.
-4x+10400\leq 7700
Combine 9x and -13x to get -4x.
-4x\leq 7700-10400
Subtract 10400 from both sides.
-4x\leq -2700
Subtract 10400 from 7700 to get -2700.
x\geq \frac{-2700}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x\geq 675
Divide -2700 by -4 to get 675.