# Remember, x must be real!

Algebra Level pending

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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