For real numbers \(x\)

\(x\) satisfy the following equation

\(1.5x+5.5-\sqrt { 33x } \) = \(-|6x-22|\)

If the value of \(x\) can be expressed in the form \(\frac { a }{ b } \) in which \(a\) and \(b\) are coprime positive integers, find the value of \(a+b\)

This problem is edited from a classic problem.

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