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Simplifying abs(x) + abs(x + -2) + abs(x + -4) + -5 = 0 Multiply abs * x absx + abs(x + -2) + abs(x + -4) + -5 = 0 Reorder the terms: absx + abs(-2 + x) + abs(x + -4) + -5 = 0 absx + (-2 * abs + x * abs) + abs(x + -4) + -5 = 0 absx + (-2abs + absx) + abs(x + -4) + -5 = 0 Reorder the terms: absx + -2abs + absx + abs(-4 + x) + -5 = 0 absx + -2abs + absx + (-4 * abs + x * abs) + -5 = 0 absx + -2abs + absx + (-4abs + absx) + -5 = 0 Reorder the terms: -5 + -2abs + -4abs + absx + absx + absx = 0 Combine like terms: -2abs + -4abs = -6abs -5 + -6abs + absx + absx + absx = 0 Combine like terms: absx + absx = 2absx -5 + -6abs + 2absx + absx = 0 Combine like terms: 2absx + absx = 3absx -5 + -6abs + 3absx = 0 Solving -5 + -6abs + 3absx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -6abs + 5 + 3absx = 0 + 5 Reorder the terms: -5 + 5 + -6abs + 3absx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6abs + 3absx = 0 + 5 -6abs + 3absx = 0 + 5 Combine like terms: 0 + 5 = 5 -6abs + 3absx = 5 Reorder the terms: -5 + -6abs + 3absx = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -6abs + 3absx = 0 The solution to this equation could not be determined.
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