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15\times 900x=11\times 1300x
Multiply both sides of the equation by 330, the least common multiple of 22,30.
13500x=11\times 1300x
Multiply 15 and 900 to get 13500.
13500x=14300x
Multiply 11 and 1300 to get 14300.
13500x-14300x=0
Subtract 14300x from both sides.
-800x=0
Combine 13500x and -14300x to get -800x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -800 is not equal to 0, x must be equal to 0.