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Simplifying abs(3x + 6) + -2abs(x) + 4x + -11 = 0 Reorder the terms: abs(6 + 3x) + -2abs(x) + 4x + -11 = 0 (6 * abs + 3x * abs) + -2abs(x) + 4x + -11 = 0 (6abs + 3absx) + -2abs(x) + 4x + -11 = 0 Multiply abs * x 6abs + 3absx + -2absx + 4x + -11 = 0 Reorder the terms: -11 + 6abs + 3absx + -2absx + 4x = 0 Combine like terms: 3absx + -2absx = 1absx -11 + 6abs + 1absx + 4x = 0 Solving -11 + 6abs + 1absx + 4x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 6abs + 1absx + 11 + 4x = 0 + 11 Reorder the terms: -11 + 11 + 6abs + 1absx + 4x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 6abs + 1absx + 4x = 0 + 11 6abs + 1absx + 4x = 0 + 11 Combine like terms: 0 + 11 = 11 6abs + 1absx + 4x = 11 Add '-4x' to each side of the equation. 6abs + 1absx + 4x + -4x = 11 + -4x Combine like terms: 4x + -4x = 0 6abs + 1absx + 0 = 11 + -4x 6abs + 1absx = 11 + -4x Reorder the terms: -11 + 6abs + 1absx + 4x = 11 + -4x + -11 + 4x Reorder the terms: -11 + 6abs + 1absx + 4x = 11 + -11 + -4x + 4x Combine like terms: 11 + -11 = 0 -11 + 6abs + 1absx + 4x = 0 + -4x + 4x -11 + 6abs + 1absx + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -11 + 6abs + 1absx + 4x = 0 The solution to this equation could not be determined.
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