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40x+15x-15-500=0
Multiply both sides of the equation by 20.
55x-15-500=0
Combine 40x and 15x to get 55x.
55x-515=0
Subtract 500 from -15 to get -515.
55x=515
Add 515 to both sides. Anything plus zero gives itself.
x=\frac{515}{55}
Divide both sides by 55.
x=\frac{103}{11}
Reduce the fraction \frac{515}{55} to lowest terms by extracting and canceling out 5.