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-40|x-11|+990=790
Swap sides so that all variable terms are on the left hand side.
-40|x-11|=790-990
Subtract 990 from both sides.
-40|x-11|=-200
Subtract 990 from 790 to get -200.
|x-11|=\frac{-200}{-40}
Divide both sides by -40.
|x-11|=5
Divide -200 by -40 to get 5.
x-11=5 x-11=-5
Use the definition of absolute value.
x=16 x=6
Add 11 to both sides of the equation.