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10x\times 20-x\times 400=10
Multiply both sides of the equation by 10.
200x-x\times 400=10
Multiply 10 and 20 to get 200.
-200x=10
Combine 200x and -x\times 400 to get -200x.
x=\frac{10}{-200}
Divide both sides by -200.
x=-\frac{1}{20}
Reduce the fraction \frac{10}{-200} to lowest terms by extracting and canceling out 10.