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25x=11\left(24-x\right)
Multiply both sides of the equation by 1100, the least common multiple of 44,100.
25x=264-11x
Use the distributive property to multiply 11 by 24-x.
25x+11x=264
Add 11x to both sides.
36x=264
Combine 25x and 11x to get 36x.
x=\frac{264}{36}
Divide both sides by 36.
x=\frac{22}{3}
Reduce the fraction \frac{264}{36} to lowest terms by extracting and canceling out 12.