Solve for x
x=22000
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9\left(x+4400\right)=11\left(x-400\right)
Multiply both sides of the equation by 29700, the least common multiple of 3300,2700.
9x+39600=11\left(x-400\right)
Use the distributive property to multiply 9 by x+4400.
9x+39600=11x-4400
Use the distributive property to multiply 11 by x-400.
9x+39600-11x=-4400
Subtract 11x from both sides.
-2x+39600=-4400
Combine 9x and -11x to get -2x.
-2x=-4400-39600
Subtract 39600 from both sides.
-2x=-44000
Subtract 39600 from -4400 to get -44000.
x=\frac{-44000}{-2}
Divide both sides by -2.
x=22000
Divide -44000 by -2 to get 22000.
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