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350x\times \frac{1}{50}+350x\times \frac{1}{35}=350
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 350x, the least common multiple of 50,35,x.
\frac{350}{50}x+350x\times \frac{1}{35}=350
Multiply 350 and \frac{1}{50} to get \frac{350}{50}.
7x+350x\times \frac{1}{35}=350
Divide 350 by 50 to get 7.
7x+\frac{350}{35}x=350
Multiply 350 and \frac{1}{35} to get \frac{350}{35}.
7x+10x=350
Divide 350 by 35 to get 10.
17x=350
Combine 7x and 10x to get 17x.
x=\frac{350}{17}
Divide both sides by 17.