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165\times 7=x\times 105
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 165x, the least common multiple of x,165.
1155=x\times 105
Multiply 165 and 7 to get 1155.
x\times 105=1155
Swap sides so that all variable terms are on the left hand side.
x=\frac{1155}{105}
Divide both sides by 105.
x=11
Divide 1155 by 105 to get 11.