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0.5x+9.1-0.7x=7.9
Use the distributive property to multiply 0.7 by 13-x.
-0.2x+9.1=7.9
Combine 0.5x and -0.7x to get -0.2x.
-0.2x=7.9-9.1
Subtract 9.1 from both sides.
-0.2x=-1.2
Subtract 9.1 from 7.9 to get -1.2.
x=\frac{-1.2}{-0.2}
Divide both sides by -0.2.
x=\frac{-12}{-2}
Expand \frac{-1.2}{-0.2} by multiplying both numerator and the denominator by 10.
x=6
Divide -12 by -2 to get 6.