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7x=6\times 4.72
Multiply both sides of the equation by 84, the least common multiple of 12,14.
7x=28.32
Multiply 6 and 4.72 to get 28.32.
x=\frac{28.32}{7}
Divide both sides by 7.
x=\frac{2832}{700}
Expand \frac{28.32}{7} by multiplying both numerator and the denominator by 100.
x=\frac{708}{175}
Reduce the fraction \frac{2832}{700} to lowest terms by extracting and canceling out 4.