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Simplifying abs(x + -4) = x + abs(3 + -2x) Reorder the terms: abs(-4 + x) = x + abs(3 + -2x) (-4 * abs + x * abs) = x + abs(3 + -2x) (-4abs + absx) = x + abs(3 + -2x) -4abs + absx = x + (3 * abs + -2x * abs) -4abs + absx = x + (3abs + -2absx) Reorder the terms: -4abs + absx = 3abs + -2absx + x Solving -4abs + absx = 3abs + -2absx + x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3abs' to each side of the equation. -4abs + -3abs + absx = 3abs + -2absx + -3abs + x Combine like terms: -4abs + -3abs = -7abs -7abs + absx = 3abs + -2absx + -3abs + x Reorder the terms: -7abs + absx = 3abs + -3abs + -2absx + x Combine like terms: 3abs + -3abs = 0 -7abs + absx = 0 + -2absx + x -7abs + absx = -2absx + x Add '2absx' to each side of the equation. -7abs + absx + 2absx = -2absx + 2absx + x Combine like terms: absx + 2absx = 3absx -7abs + 3absx = -2absx + 2absx + x Combine like terms: -2absx + 2absx = 0 -7abs + 3absx = 0 + x -7abs + 3absx = x Combine like terms: x + -1x = 0 -7abs + 3absx + -1x = 0 The solution to this equation could not be determined.
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