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180x+40\left(108-x\right)=16500
Multiply 12 and 9 to get 108.
180x+4320-40x=16500
Use the distributive property to multiply 40 by 108-x.
140x+4320=16500
Combine 180x and -40x to get 140x.
140x=16500-4320
Subtract 4320 from both sides.
140x=12180
Subtract 4320 from 16500 to get 12180.
x=\frac{12180}{140}
Divide both sides by 140.
x=87
Divide 12180 by 140 to get 87.