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12x=7\times 54
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 7x, the least common multiple of 7,x.
12x=378
Multiply 7 and 54 to get 378.
x=\frac{378}{12}
Divide both sides by 12.
x=\frac{63}{2}
Reduce the fraction \frac{378}{12} to lowest terms by extracting and canceling out 6.