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1100x-800=8\times 10
Multiply both sides of the equation by 800, the least common multiple of 800,100.
1100x-800=80
Multiply 8 and 10 to get 80.
1100x=80+800
Add 800 to both sides.
1100x=880
Add 80 and 800 to get 880.
x=\frac{880}{1100}
Divide both sides by 1100.
x=\frac{4}{5}
Reduce the fraction \frac{880}{1100} to lowest terms by extracting and canceling out 220.