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Simplifying abs(x + 4) + -1abs(x) + 3abs(x + -1) = x + 5 Reorder the terms: abs(4 + x) + -1abs(x) + 3abs(x + -1) = x + 5 (4 * abs + x * abs) + -1abs(x) + 3abs(x + -1) = x + 5 (4abs + absx) + -1abs(x) + 3abs(x + -1) = x + 5 Multiply abs * x 4abs + absx + -1absx + 3abs(x + -1) = x + 5 Reorder the terms: 4abs + absx + -1absx + 3abs(-1 + x) = x + 5 4abs + absx + -1absx + (-1 * 3abs + x * 3abs) = x + 5 4abs + absx + -1absx + (-3abs + 3absx) = x + 5 Reorder the terms: 4abs + -3abs + absx + -1absx + 3absx = x + 5 Combine like terms: 4abs + -3abs = 1abs 1abs + absx + -1absx + 3absx = x + 5 Combine like terms: absx + -1absx = 0 1abs + 0 + 3absx = x + 5 1abs + 3absx = x + 5 Reorder the terms: 1abs + 3absx = 5 + x Solving 1abs + 3absx = 5 + x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -5 + 1abs + 3absx + -1x = 5 + x + -5 + -1x Reorder the terms: -5 + 1abs + 3absx + -1x = 5 + -5 + x + -1x Combine like terms: 5 + -5 = 0 -5 + 1abs + 3absx + -1x = 0 + x + -1x -5 + 1abs + 3absx + -1x = x + -1x Combine like terms: x + -1x = 0 -5 + 1abs + 3absx + -1x = 0 The solution to this equation could not be determined.
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