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Simplifying abs(x + -4) + abs(2x + -1) = abs(x) + 3 Reorder the terms: abs(-4 + x) + abs(2x + -1) = abs(x) + 3 (-4 * abs + x * abs) + abs(2x + -1) = abs(x) + 3 (-4abs + absx) + abs(2x + -1) = abs(x) + 3 Reorder the terms: -4abs + absx + abs(-1 + 2x) = abs(x) + 3 -4abs + absx + (-1 * abs + 2x * abs) = abs(x) + 3 -4abs + absx + (-1abs + 2absx) = abs(x) + 3 Reorder the terms: -4abs + -1abs + absx + 2absx = abs(x) + 3 Combine like terms: -4abs + -1abs = -5abs -5abs + absx + 2absx = abs(x) + 3 Combine like terms: absx + 2absx = 3absx -5abs + 3absx = abs(x) + 3 Multiply abs * x -5abs + 3absx = absx + 3 Reorder the terms: -5abs + 3absx = 3 + absx Solving -5abs + 3absx = 3 + 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 + 3absx + -1absx = 3 + absx + -1absx Combine like terms: 3absx + -1absx = 2absx -5abs + 2absx = 3 + absx + -1absx Combine like terms: absx + -1absx = 0 -5abs + 2absx = 3 + 0 -5abs + 2absx = 3 Reorder the terms: -3 + -5abs + 2absx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -5abs + 2absx = 0 The solution to this equation could not be determined.
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