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Simplifying abs(x + -5) = abs(5x + 4) + -1 Reorder the terms: abs(-5 + x) = abs(5x + 4) + -1 (-5 * abs + x * abs) = abs(5x + 4) + -1 (-5abs + absx) = abs(5x + 4) + -1 Reorder the terms: -5abs + absx = abs(4 + 5x) + -1 -5abs + absx = (4 * abs + 5x * abs) + -1 -5abs + absx = (4abs + 5absx) + -1 Reorder the terms: -5abs + absx = -1 + 4abs + 5absx Solving -5abs + absx = -1 + 4abs + 5absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4abs' to each side of the equation. -5abs + -4abs + absx = -1 + 4abs + -4abs + 5absx Combine like terms: -5abs + -4abs = -9abs -9abs + absx = -1 + 4abs + -4abs + 5absx Combine like terms: 4abs + -4abs = 0 -9abs + absx = -1 + 0 + 5absx -9abs + absx = -1 + 5absx Add '-5absx' to each side of the equation. -9abs + absx + -5absx = -1 + 5absx + -5absx Combine like terms: absx + -5absx = -4absx -9abs + -4absx = -1 + 5absx + -5absx Combine like terms: 5absx + -5absx = 0 -9abs + -4absx = -1 + 0 -9abs + -4absx = -1 Reorder the terms: 1 + -9abs + -4absx = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -9abs + -4absx = 0 The solution to this equation could not be determined.
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