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-\left(|x|+58\right)+121=17
Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.
-\left(|x|+58\right)=-104
Subtract 121 from both sides of the equation.
|x|+58=104
Divide both sides by -1.
|x|=46
Subtract 58 from both sides of the equation.
x=46 x=-46
Use the definition of absolute value.