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x\times 65=135\times 6.5
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 135x, the least common multiple of 135,x.
x\times 65=877.5
Multiply 135 and 6.5 to get 877.5.
x=\frac{877.5}{65}
Divide both sides by 65.
x=\frac{8775}{650}
Expand \frac{877.5}{65} by multiplying both numerator and the denominator by 10.
x=\frac{27}{2}
Reduce the fraction \frac{8775}{650} to lowest terms by extracting and canceling out 325.