Algebra · Absolute value · Nested absolute values · Equations

Problem 1, 2007

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Find all real numbers \(x\) for which

\[ \Biggl|\, \Bigl|\, \bigl|\, |x| - 2 \,\bigr| - 20 \,\Bigr| - 200 \,\Biggr| = 2007 . \]

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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2007, 1. letnik, category A, problem 1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source