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4000+100x=x+4003
Multiply 10 and 400 to get 4000.
4000+100x-x=4003
Subtract x from both sides.
4000+99x=4003
Combine 100x and -x to get 99x.
99x=4003-4000
Subtract 4000 from both sides.
99x=3
Subtract 4000 from 4003 to get 3.
x=\frac{3}{99}
Divide both sides by 99.
x=\frac{1}{33}
Reduce the fraction \frac{3}{99} to lowest terms by extracting and canceling out 3.