Algebra Level 4

$\large (12x -1) (6x - 1) (4x - 1) (3x - 1) = 5$

If the product of the real roots of the above equation can be expressed as $$\dfrac{a}{b}$$, where $$a < 0$$ and $$b > 0$$, and $$a$$,$$b$$ are coprime,

then find $$|a| + b$$.

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