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Simplifying abs(2x + 3) + -3 = 5x + 2 Reorder the terms: abs(3 + 2x) + -3 = 5x + 2 (3 * abs + 2x * abs) + -3 = 5x + 2 (3abs + 2absx) + -3 = 5x + 2 Reorder the terms: -3 + 3abs + 2absx = 5x + 2 Reorder the terms: -3 + 3abs + 2absx = 2 + 5x Solving -3 + 3abs + 2absx = 2 + 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3abs + 3 + 2absx = 2 + 3 + 5x Reorder the terms: -3 + 3 + 3abs + 2absx = 2 + 3 + 5x Combine like terms: -3 + 3 = 0 0 + 3abs + 2absx = 2 + 3 + 5x 3abs + 2absx = 2 + 3 + 5x Combine like terms: 2 + 3 = 5 3abs + 2absx = 5 + 5x Reorder the terms: -5 + 3abs + 2absx + -5x = 5 + 5x + -5 + -5x Reorder the terms: -5 + 3abs + 2absx + -5x = 5 + -5 + 5x + -5x Combine like terms: 5 + -5 = 0 -5 + 3abs + 2absx + -5x = 0 + 5x + -5x -5 + 3abs + 2absx + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 3abs + 2absx + -5x = 0 The solution to this equation could not be determined.
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