# Pestañeishon

Algebra Level 4

Let $$x\ge y$$ be real numbers such that:

$\large (2x+2y-1) (x+y ) -6xy=-\frac { 1 }{ 2 }$

The sum of all possible different values of $$x$$ is $$\dfrac { a }{ b }$$, with $$a$$ and $$b$$ are coprime positive integers. Compute $$a+b$$.

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