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10x=7\times 50
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=350
Multiply 7 and 50 to get 350.
x=\frac{350}{10}
Divide both sides by 10.
x=35
Divide 350 by 10 to get 35.