A beautifully ugly equation

Algebra Level 3

If \(x\) is a real number satisfying the following equation \[\left| \dfrac{x-2}{6x^2+x-2}\right|+|2-x|=\dfrac{(x-2)^2}{|6x^2+x-2|}+1\] If the sum of all the values of \(x\) can be expressed in the form \(\frac{a}{b}\) then find the value of \(a+b\)

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