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Given that the sum of all possible values of xxx that satisfy the equation
∣3x−2∣−∣x+1∣=x+2\large |3x-2|-|x+1|=x+2∣3x−2∣−∣x+1∣=x+2
can be expressed in the form mn\dfrac{m}{n}nm, where mmm and nnn are coprime positive integers, find the value of m+nm+nm+n.
This problem is part of the set Absolute Value Equations.
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