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Simplifying abs(x + 3) + abs(2x + 3) + 7 = 0 Reorder the terms: abs(3 + x) + abs(2x + 3) + 7 = 0 (3 * abs + x * abs) + abs(2x + 3) + 7 = 0 (3abs + absx) + abs(2x + 3) + 7 = 0 Reorder the terms: 3abs + absx + abs(3 + 2x) + 7 = 0 3abs + absx + (3 * abs + 2x * abs) + 7 = 0 3abs + absx + (3abs + 2absx) + 7 = 0 Reorder the terms: 7 + 3abs + 3abs + absx + 2absx = 0 Combine like terms: 3abs + 3abs = 6abs 7 + 6abs + absx + 2absx = 0 Combine like terms: absx + 2absx = 3absx 7 + 6abs + 3absx = 0 Solving 7 + 6abs + 3absx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 6abs + -7 + 3absx = 0 + -7 Reorder the terms: 7 + -7 + 6abs + 3absx = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6abs + 3absx = 0 + -7 6abs + 3absx = 0 + -7 Combine like terms: 0 + -7 = -7 6abs + 3absx = -7 Reorder the terms: 7 + 6abs + 3absx = -7 + 7 Combine like terms: -7 + 7 = 0 7 + 6abs + 3absx = 0 The solution to this equation could not be determined.
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