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Simplifying x + abs(2x + -5) = 1 + abs(x) Reorder the terms: x + abs(-5 + 2x) = 1 + abs(x) x + (-5 * abs + 2x * abs) = 1 + abs(x) x + (-5abs + 2absx) = 1 + abs(x) Reorder the terms: -5abs + 2absx + x = 1 + abs(x) Multiply abs * x -5abs + 2absx + x = 1 + absx Solving -5abs + 2absx + x = 1 + absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1absx' to each side of the equation. -5abs + 2absx + -1absx + x = 1 + absx + -1absx Combine like terms: 2absx + -1absx = 1absx -5abs + 1absx + x = 1 + absx + -1absx Combine like terms: absx + -1absx = 0 -5abs + 1absx + x = 1 + 0 -5abs + 1absx + x = 1 Add '-1x' to each side of the equation. -5abs + 1absx + x + -1x = 1 + -1x Combine like terms: x + -1x = 0 -5abs + 1absx + 0 = 1 + -1x -5abs + 1absx = 1 + -1x Reorder the terms: -1 + -5abs + 1absx + x = 1 + -1x + -1 + x Reorder the terms: -1 + -5abs + 1absx + x = 1 + -1 + -1x + x Combine like terms: 1 + -1 = 0 -1 + -5abs + 1absx + x = 0 + -1x + x -1 + -5abs + 1absx + x = -1x + x Combine like terms: -1x + x = 0 -1 + -5abs + 1absx + x = 0 The solution to this equation could not be determined.
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