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9x=7\times 27
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 7x, the least common multiple of 7,x.
9x=189
Multiply 7 and 27 to get 189.
x=\frac{189}{9}
Divide both sides by 9.
x=21
Divide 189 by 9 to get 21.