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4\times 625=105x
Multiply both sides of the equation by 10500, the least common multiple of 2625,100.
2500=105x
Multiply 4 and 625 to get 2500.
105x=2500
Swap sides so that all variable terms are on the left hand side.
x=\frac{2500}{105}
Divide both sides by 105.
x=\frac{500}{21}
Reduce the fraction \frac{2500}{105} to lowest terms by extracting and canceling out 5.