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3x=4\times 46.5
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of 4,x.
3x=186
Multiply 4 and 46.5 to get 186.
x=\frac{186}{3}
Divide both sides by 3.
x=62
Divide 186 by 3 to get 62.