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20\left(80+x\right)=1875
Multiply both sides of the equation by 100, the least common multiple of 5,100.
1600+20x=1875
Use the distributive property to multiply 20 by 80+x.
20x=1875-1600
Subtract 1600 from both sides.
20x=275
Subtract 1600 from 1875 to get 275.
x=\frac{275}{20}
Divide both sides by 20.
x=\frac{55}{4}
Reduce the fraction \frac{275}{20} to lowest terms by extracting and canceling out 5.