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105\times 3=x\times 7
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 105x, the least common multiple of x,105.
315=x\times 7
Multiply 105 and 3 to get 315.
x\times 7=315
Swap sides so that all variable terms are on the left hand side.
x=\frac{315}{7}
Divide both sides by 7.
x=45
Divide 315 by 7 to get 45.