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Simplifying abs(3x + 2) = abs(2 + -1x) Reorder the terms: abs(2 + 3x) = abs(2 + -1x) (2 * abs + 3x * abs) = abs(2 + -1x) (2abs + 3absx) = abs(2 + -1x) 2abs + 3absx = (2 * abs + -1x * abs) 2abs + 3absx = (2abs + -1absx) Add '-2abs' to each side of the equation. 2abs + -2abs + 3absx = 2abs + -2abs + -1absx Combine like terms: 2abs + -2abs = 0 0 + 3absx = 2abs + -2abs + -1absx 3absx = 2abs + -2abs + -1absx Combine like terms: 2abs + -2abs = 0 3absx = 0 + -1absx 3absx = -1absx Solving 3absx = -1absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'absx' to each side of the equation. 3absx + absx = -1absx + absx Combine like terms: 3absx + absx = 4absx 4absx = -1absx + absx Combine like terms: -1absx + absx = 0 4absx = 0 Divide each side by '4'. absx = 0 Simplifying absx = 0 The solution to this equation could not be determined.
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