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Simplifying abs(x + 5) = abs(x + -3) Reorder the terms: abs(5 + x) = abs(x + -3) (5 * abs + x * abs) = abs(x + -3) (5abs + absx) = abs(x + -3) Reorder the terms: 5abs + absx = abs(-3 + x) 5abs + absx = (-3 * abs + x * abs) 5abs + absx = (-3abs + absx) Add '-1absx' to each side of the equation. 5abs + absx + -1absx = -3abs + absx + -1absx Combine like terms: absx + -1absx = 0 5abs + 0 = -3abs + absx + -1absx 5abs = -3abs + absx + -1absx Combine like terms: absx + -1absx = 0 5abs = -3abs + 0 5abs = -3abs Solving 5abs = -3abs 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 = -3abs + 3abs Combine like terms: 5abs + 3abs = 8abs 8abs = -3abs + 3abs Combine like terms: -3abs + 3abs = 0 8abs = 0 Divide each side by '8'. abs = 0 Simplifying abs = 0 The solution to this equation could not be determined.
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