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40x=-50x+100
Use the distributive property to multiply -50 by x-2.
40x+50x=100
Add 50x to both sides.
90x=100
Combine 40x and 50x to get 90x.
x=\frac{100}{90}
Divide both sides by 90.
x=\frac{10}{9}
Reduce the fraction \frac{100}{90} to lowest terms by extracting and canceling out 10.