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10x=7\times 35
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.
10x=245
Multiply 7 and 35 to get 245.
x=\frac{245}{10}
Divide both sides by 10.
x=\frac{49}{2}
Reduce the fraction \frac{245}{10} to lowest terms by extracting and canceling out 5.