0 is larger than 0

Algebra Level 2

\[ \Large{(2x-1)^2-(x+3)^2=0} \]

If the sum of all real \( \displaystyle x \) can be expressed as \( \displaystyle \frac{a}{b} \), where \(a,b\) are positive coprime integers. Find \(a + b \).

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