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540-560=\left(90+80\right)x
Multiply 90 and 6 to get 540. Multiply 80 and -7 to get -560.
-20=\left(90+80\right)x
Subtract 560 from 540 to get -20.
-20=170x
Add 90 and 80 to get 170.
170x=-20
Swap sides so that all variable terms are on the left hand side.
x=\frac{-20}{170}
Divide both sides by 170.
x=-\frac{2}{17}
Reduce the fraction \frac{-20}{170} to lowest terms by extracting and canceling out 10.