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