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10x\times 10-x\times 400=10
Multiply both sides of the equation by 10.
100x-x\times 400=10
Multiply 10 and 10 to get 100.
-300x=10
Combine 100x and -x\times 400 to get -300x.
x=\frac{10}{-300}
Divide both sides by -300.
x=-\frac{1}{30}
Reduce the fraction \frac{10}{-300} to lowest terms by extracting and canceling out 10.