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126+2x=9\left(50-x\right)
Multiply both sides of the equation by 18, the least common multiple of 9,2.
126+2x=450-9x
Use the distributive property to multiply 9 by 50-x.
126+2x+9x=450
Add 9x to both sides.
126+11x=450
Combine 2x and 9x to get 11x.
11x=450-126
Subtract 126 from both sides.
11x=324
Subtract 126 from 450 to get 324.
x=\frac{324}{11}
Divide both sides by 11.