Nested Absolute Value Problem

Algebra Level 2

Find the set of solutions to \[\Bigg\lvert \bigg\lvert \Big\lvert \lvert x-1 \rvert - 1 \Big\rvert - 1 \bigg\rvert - 1\Bigg\rvert = 0.\]

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

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