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