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x\times 2.7=100\times 3.5
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 100,x.
x\times 2.7=350
Multiply 100 and 3.5 to get 350.
x=\frac{350}{2.7}
Divide both sides by 2.7.
x=\frac{3500}{27}
Expand \frac{350}{2.7} by multiplying both numerator and the denominator by 10.