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Simplifying abs(3x + 5) = abs(3x + 4) Reorder the terms: abs(5 + 3x) = abs(3x + 4) (5 * abs + 3x * abs) = abs(3x + 4) (5abs + 3absx) = abs(3x + 4) Reorder the terms: 5abs + 3absx = abs(4 + 3x) 5abs + 3absx = (4 * abs + 3x * abs) 5abs + 3absx = (4abs + 3absx) Add '-3absx' to each side of the equation. 5abs + 3absx + -3absx = 4abs + 3absx + -3absx Combine like terms: 3absx + -3absx = 0 5abs + 0 = 4abs + 3absx + -3absx 5abs = 4abs + 3absx + -3absx Combine like terms: 3absx + -3absx = 0 5abs = 4abs + 0 5abs = 4abs Solving 5abs = 4abs 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 = 4abs + -4abs Combine like terms: 5abs + -4abs = 1abs 1abs = 4abs + -4abs Combine like terms: 4abs + -4abs = 0 1abs = 0 Divide each side by '1'. abs = 0 Simplifying abs = 0 The solution to this equation could not be determined.
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