If \(f(x) = 5x - 2\), then find the value of \(x\) which satisfies \(f^3(x) = -20 - x\). If \(x\) can be expressed as an irreducible fraction \(\frac{a}{b}\), find \(a+b\) assuming \(a, b>0\).

Note: \(f^3(x) = f(f(f(x)))\), NOT \((f(x))^3\).

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