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0.5x+120-0.6x=105
Use the distributive property to multiply 0.6 by 200-x.
-0.1x+120=105
Combine 0.5x and -0.6x to get -0.1x.
-0.1x=105-120
Subtract 120 from both sides.
-0.1x=-15
Subtract 120 from 105 to get -15.
x=\frac{-15}{-0.1}
Divide both sides by -0.1.
x=\frac{-150}{-1}
Expand \frac{-15}{-0.1} by multiplying both numerator and the denominator by 10.
x=150
Fraction \frac{-150}{-1} can be simplified to 150 by removing the negative sign from both the numerator and the denominator.