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1.5x+1.4\left(\frac{66}{1.2}+\frac{-1.5x}{1.2}\right)=9
Divide each term of 66-1.5x by 1.2 to get \frac{66}{1.2}+\frac{-1.5x}{1.2}.
1.5x+1.4\left(\frac{660}{12}+\frac{-1.5x}{1.2}\right)=9
Expand \frac{66}{1.2} by multiplying both numerator and the denominator by 10.
1.5x+1.4\left(55+\frac{-1.5x}{1.2}\right)=9
Divide 660 by 12 to get 55.
1.5x+1.4\left(55-1.25x\right)=9
Divide -1.5x by 1.2 to get -1.25x.
1.5x+77-1.75x=9
Use the distributive property to multiply 1.4 by 55-1.25x.
-0.25x+77=9
Combine 1.5x and -1.75x to get -0.25x.
-0.25x=9-77
Subtract 77 from both sides.
-0.25x=-68
Subtract 77 from 9 to get -68.
x=\frac{-68}{-0.25}
Divide both sides by -0.25.
x=\frac{-6800}{-25}
Expand \frac{-68}{-0.25} by multiplying both numerator and the denominator by 100.
x=272
Divide -6800 by -25 to get 272.