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1.3x\times 30+1.3x\times 0.8\times 20=50
Multiply both sides by 50.
39x+1.3x\times 0.8\times 20=50
Multiply 1.3 and 30 to get 39.
39x+1.04x\times 20=50
Multiply 1.3 and 0.8 to get 1.04.
39x+20.8x=50
Multiply 1.04 and 20 to get 20.8.
59.8x=50
Combine 39x and 20.8x to get 59.8x.
x=\frac{50}{59.8}
Divide both sides by 59.8.
x=\frac{500}{598}
Expand \frac{50}{59.8} by multiplying both numerator and the denominator by 10.
x=\frac{250}{299}
Reduce the fraction \frac{500}{598} to lowest terms by extracting and canceling out 2.