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18x=7\times 10
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.
18x=70
Multiply 7 and 10 to get 70.
x=\frac{70}{18}
Divide both sides by 18.
x=\frac{35}{9}
Reduce the fraction \frac{70}{18} to lowest terms by extracting and canceling out 2.