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0.4x+9-0.9x=0.5
Use the distributive property to multiply 0.9 by 10-x.
-0.5x+9=0.5
Combine 0.4x and -0.9x to get -0.5x.
-0.5x=0.5-9
Subtract 9 from both sides.
-0.5x=-8.5
Subtract 9 from 0.5 to get -8.5.
x=\frac{-8.5}{-0.5}
Divide both sides by -0.5.
x=\frac{-85}{-5}
Expand \frac{-8.5}{-0.5} by multiplying both numerator and the denominator by 10.
x=17
Divide -85 by -5 to get 17.