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