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450\times 200=x\times 100
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 450x, the least common multiple of x,450.
90000=x\times 100
Multiply 450 and 200 to get 90000.
x\times 100=90000
Swap sides so that all variable terms are on the left hand side.
x=\frac{90000}{100}
Divide both sides by 100.
x=900
Divide 90000 by 100 to get 900.