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Simplifying abs(-1x + 5) = abs(2x + 3) Reorder the terms: abs(5 + -1x) = abs(2x + 3) (5 * abs + -1x * abs) = abs(2x + 3) (5abs + -1absx) = abs(2x + 3) Reorder the terms: 5abs + -1absx = abs(3 + 2x) 5abs + -1absx = (3 * abs + 2x * abs) 5abs + -1absx = (3abs + 2absx) Solving 5abs + -1absx = 3abs + 2absx 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. 5abs + -3abs + -1absx = 3abs + -3abs + 2absx Combine like terms: 5abs + -3abs = 2abs 2abs + -1absx = 3abs + -3abs + 2absx Combine like terms: 3abs + -3abs = 0 2abs + -1absx = 0 + 2absx 2abs + -1absx = 2absx Add '-2absx' to each side of the equation. 2abs + -1absx + -2absx = 2absx + -2absx Combine like terms: -1absx + -2absx = -3absx 2abs + -3absx = 2absx + -2absx Combine like terms: 2absx + -2absx = 0 2abs + -3absx = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(2 + -3x) = 0Subproblem 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 '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Add '3x' to each side of the equation. -3x + 3x = -2 + 3x Combine like terms: -3x + 3x = 0 0 = -2 + 3x Simplifying 0 = -2 + 3x 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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