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Simplifying abs(2x + 6) = abs(3x + 2) + -2 Reorder the terms: abs(6 + 2x) = abs(3x + 2) + -2 (6 * abs + 2x * abs) = abs(3x + 2) + -2 (6abs + 2absx) = abs(3x + 2) + -2 Reorder the terms: 6abs + 2absx = abs(2 + 3x) + -2 6abs + 2absx = (2 * abs + 3x * abs) + -2 6abs + 2absx = (2abs + 3absx) + -2 Reorder the terms: 6abs + 2absx = -2 + 2abs + 3absx Solving 6abs + 2absx = -2 + 2abs + 3absx 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. 6abs + -2abs + 2absx = -2 + 2abs + -2abs + 3absx Combine like terms: 6abs + -2abs = 4abs 4abs + 2absx = -2 + 2abs + -2abs + 3absx Combine like terms: 2abs + -2abs = 0 4abs + 2absx = -2 + 0 + 3absx 4abs + 2absx = -2 + 3absx Add '-3absx' to each side of the equation. 4abs + 2absx + -3absx = -2 + 3absx + -3absx Combine like terms: 2absx + -3absx = -1absx 4abs + -1absx = -2 + 3absx + -3absx Combine like terms: 3absx + -3absx = 0 4abs + -1absx = -2 + 0 4abs + -1absx = -2 Reorder the terms: 2 + 4abs + -1absx = -2 + 2 Combine like terms: -2 + 2 = 0 2 + 4abs + -1absx = 0 The solution to this equation could not be determined.
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