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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