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Simplifying abs(3x + -5) = abs(2x + 1) Reorder the terms: abs(-5 + 3x) = abs(2x + 1) (-5 * abs + 3x * abs) = abs(2x + 1) (-5abs + 3absx) = abs(2x + 1) Reorder the terms: -5abs + 3absx = abs(1 + 2x) -5abs + 3absx = (1 * abs + 2x * abs) -5abs + 3absx = (1abs + 2absx) Solving -5abs + 3absx = 1abs + 2absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1abs' to each side of the equation. -5abs + -1abs + 3absx = 1abs + -1abs + 2absx Combine like terms: -5abs + -1abs = -6abs -6abs + 3absx = 1abs + -1abs + 2absx Combine like terms: 1abs + -1abs = 0 -6abs + 3absx = 0 + 2absx -6abs + 3absx = 2absx Add '-2absx' to each side of the equation. -6abs + 3absx + -2absx = 2absx + -2absx Combine like terms: 3absx + -2absx = 1absx -6abs + 1absx = 2absx + -2absx Combine like terms: 2absx + -2absx = 0 -6abs + 1absx = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(-6 + x) = 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -1x 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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