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100\times 425=11\left(x+870\right)
Variable x cannot be equal to -870 since division by zero is not defined. Multiply both sides of the equation by 100\left(x+870\right), the least common multiple of 870+x,100.
42500=11\left(x+870\right)
Multiply 100 and 425 to get 42500.
42500=11x+9570
Use the distributive property to multiply 11 by x+870.
11x+9570=42500
Swap sides so that all variable terms are on the left hand side.
11x=42500-9570
Subtract 9570 from both sides.
11x=32930
Subtract 9570 from 42500 to get 32930.
x=\frac{32930}{11}
Divide both sides by 11.