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Simplifying abs(-3x + -5) = abs(2x + 2) Reorder the terms: abs(-5 + -3x) = abs(2x + 2) (-5 * abs + -3x * abs) = abs(2x + 2) (-5abs + -3absx) = abs(2x + 2) Reorder the terms: -5abs + -3absx = abs(2 + 2x) -5abs + -3absx = (2 * abs + 2x * abs) -5abs + -3absx = (2abs + 2absx) Solving -5abs + -3absx = 2abs + 2absx 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. -5abs + -2abs + -3absx = 2abs + -2abs + 2absx Combine like terms: -5abs + -2abs = -7abs -7abs + -3absx = 2abs + -2abs + 2absx Combine like terms: 2abs + -2abs = 0 -7abs + -3absx = 0 + 2absx -7abs + -3absx = 2absx Add '-2absx' to each side of the equation. -7abs + -3absx + -2absx = 2absx + -2absx Combine like terms: -3absx + -2absx = -5absx -7abs + -5absx = 2absx + -2absx Combine like terms: 2absx + -2absx = 0 -7abs + -5absx = 0 Factor out the Greatest Common Factor (GCF), '-1abs'. -1abs(7 + 5x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'abs' equal to zero and attempt to solve: Simplifying abs = 0 Solving abs = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abs = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Add '-5x' to each side of the equation. 5x + -5x = -7 + -5x Combine like terms: 5x + -5x = 0 0 = -7 + -5x Simplifying 0 = -7 + -5x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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