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Simplifying abs(x + 5) = abs(x + -2) Reorder the terms: abs(5 + x) = abs(x + -2) (5 * abs + x * abs) = abs(x + -2) (5abs + absx) = abs(x + -2) Reorder the terms: 5abs + absx = abs(-2 + x) 5abs + absx = (-2 * abs + x * abs) 5abs + absx = (-2abs + absx) Add '-1absx' to each side of the equation. 5abs + absx + -1absx = -2abs + absx + -1absx Combine like terms: absx + -1absx = 0 5abs + 0 = -2abs + absx + -1absx 5abs = -2abs + absx + -1absx Combine like terms: absx + -1absx = 0 5abs = -2abs + 0 5abs = -2abs Solving 5abs = -2abs Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2abs' to each side of the equation. 5abs + 2abs = -2abs + 2abs Combine like terms: 5abs + 2abs = 7abs 7abs = -2abs + 2abs Combine like terms: -2abs + 2abs = 0 7abs = 0 Divide each side by '7'. abs = 0 Simplifying abs = 0 The solution to this equation could not be determined.
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