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11200=14000\left(8760-x\right)
Multiply 3500 and 4 to get 14000.
11200=122640000-14000x
Use the distributive property to multiply 14000 by 8760-x.
122640000-14000x=11200
Swap sides so that all variable terms are on the left hand side.
-14000x=11200-122640000
Subtract 122640000 from both sides.
-14000x=-122628800
Subtract 122640000 from 11200 to get -122628800.
x=\frac{-122628800}{-14000}
Divide both sides by -14000.
x=\frac{43796}{5}
Reduce the fraction \frac{-122628800}{-14000} to lowest terms by extracting and canceling out -2800.