An algebra problem by Rahil Sehgal

Algebra Level 4

\[ \large |2^{x+1} -1| + |2^{x+1} +1| = 2^{|x+1|} \]

Find the integer value of \(x \) satisfying the above equation.

\(\)

Notation: \(|\cdot|\) denotes the absolute value function.

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