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3\times \frac{1}{7}=x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of x,3.
\frac{3}{7}=x
Multiply 3 and \frac{1}{7} to get \frac{3}{7}.
x=\frac{3}{7}
Swap sides so that all variable terms are on the left hand side.