Calculus

Calculus Level 3

$\large 2^{|x|}-\left|2^{x-1}-1\right|=2^{x-1}+1$

The set of solutions to the equation above is $$x \ge a$$ and $$x=b$$. Find $$a+b$$.

Notation: $$|\cdot|$$ denotes the absolute value function.

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