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Simplifying 2x + -5 + 5abs(x + -1) + 2abs(x + 2) = 4abs(x2 + x + -2) Reorder the terms: 2x + -5 + 5abs(-1 + x) + 2abs(x + 2) = 4abs(x2 + x + -2) 2x + -5 + (-1 * 5abs + x * 5abs) + 2abs(x + 2) = 4abs(x2 + x + -2) 2x + -5 + (-5abs + 5absx) + 2abs(x + 2) = 4abs(x2 + x + -2) Reorder the terms: 2x + -5 + -5abs + 5absx + 2abs(2 + x) = 4abs(x2 + x + -2) 2x + -5 + -5abs + 5absx + (2 * 2abs + x * 2abs) = 4abs(x2 + x + -2) 2x + -5 + -5abs + 5absx + (4abs + 2absx) = 4abs(x2 + x + -2) Reorder the terms: -5 + -5abs + 4abs + 5absx + 2absx + 2x = 4abs(x2 + x + -2) Combine like terms: -5abs + 4abs = -1abs -5 + -1abs + 5absx + 2absx + 2x = 4abs(x2 + x + -2) Combine like terms: 5absx + 2absx = 7absx -5 + -1abs + 7absx + 2x = 4abs(x2 + x + -2) Reorder the terms: -5 + -1abs + 7absx + 2x = 4abs(-2 + x + x2) -5 + -1abs + 7absx + 2x = (-2 * 4abs + x * 4abs + x2 * 4abs) -5 + -1abs + 7absx + 2x = (-8abs + 4absx + 4absx2) Solving -5 + -1abs + 7absx + 2x = -8abs + 4absx + 4absx2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8abs' to each side of the equation. -5 + -1abs + 7absx + 8abs + 2x = -8abs + 4absx + 8abs + 4absx2 Reorder the terms: -5 + -1abs + 8abs + 7absx + 2x = -8abs + 4absx + 8abs + 4absx2 Combine like terms: -1abs + 8abs = 7abs -5 + 7abs + 7absx + 2x = -8abs + 4absx + 8abs + 4absx2 Reorder the terms: -5 + 7abs + 7absx + 2x = -8abs + 8abs + 4absx + 4absx2 Combine like terms: -8abs + 8abs = 0 -5 + 7abs + 7absx + 2x = 0 + 4absx + 4absx2 -5 + 7abs + 7absx + 2x = 4absx + 4absx2 Add '-4absx' to each side of the equation. -5 + 7abs + 7absx + -4absx + 2x = 4absx + -4absx + 4absx2 Combine like terms: 7absx + -4absx = 3absx -5 + 7abs + 3absx + 2x = 4absx + -4absx + 4absx2 Combine like terms: 4absx + -4absx = 0 -5 + 7abs + 3absx + 2x = 0 + 4absx2 -5 + 7abs + 3absx + 2x = 4absx2 Add '-4absx2' to each side of the equation. -5 + 7abs + 3absx + -4absx2 + 2x = 4absx2 + -4absx2 Combine like terms: 4absx2 + -4absx2 = 0 -5 + 7abs + 3absx + -4absx2 + 2x = 0 Add '5' to each side of the equation. -5 + 7abs + 3absx + -4absx2 + 5 + 2x = 0 + 5 Reorder the terms: -5 + 5 + 7abs + 3absx + -4absx2 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7abs + 3absx + -4absx2 + 2x = 0 + 5 7abs + 3absx + -4absx2 + 2x = 0 + 5 Combine like terms: 0 + 5 = 5 7abs + 3absx + -4absx2 + 2x = 5 Add '-2x' to each side of the equation. 7abs + 3absx + -4absx2 + 2x + -2x = 5 + -2x Combine like terms: 2x + -2x = 0 7abs + 3absx + -4absx2 + 0 = 5 + -2x 7abs + 3absx + -4absx2 = 5 + -2x Reorder the terms: -5 + 7abs + 3absx + -4absx2 + 2x = 5 + -2x + -5 + 2x Reorder the terms: -5 + 7abs + 3absx + -4absx2 + 2x = 5 + -5 + -2x + 2x Combine like terms: 5 + -5 = 0 -5 + 7abs + 3absx + -4absx2 + 2x = 0 + -2x + 2x -5 + 7abs + 3absx + -4absx2 + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 7abs + 3absx + -4absx2 + 2x = 0 The solution to this equation could not be determined.
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