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100\times 700=x\times 550
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100x, the least common multiple of x,100.
70000=x\times 550
Multiply 100 and 700 to get 70000.
x\times 550=70000
Swap sides so that all variable terms are on the left hand side.
x=\frac{70000}{550}
Divide both sides by 550.
x=\frac{1400}{11}
Reduce the fraction \frac{70000}{550} to lowest terms by extracting and canceling out 50.