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