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142x+35.16-120x=100
Use the distributive property to multiply 120 by 0.293-x.
22x+35.16=100
Combine 142x and -120x to get 22x.
22x=100-35.16
Subtract 35.16 from both sides.
22x=64.84
Subtract 35.16 from 100 to get 64.84.
x=\frac{64.84}{22}
Divide both sides by 22.
x=\frac{6484}{2200}
Expand \frac{64.84}{22} by multiplying both numerator and the denominator by 100.
x=\frac{1621}{550}
Reduce the fraction \frac{6484}{2200} to lowest terms by extracting and canceling out 4.