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8x=7\times 438
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.
8x=3066
Multiply 7 and 438 to get 3066.
x=\frac{3066}{8}
Divide both sides by 8.
x=\frac{1533}{4}
Reduce the fraction \frac{3066}{8} to lowest terms by extracting and canceling out 2.