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Simplifying abs(6x + -5) = abs(1 + 2x) Reorder the terms: abs(-5 + 6x) = abs(1 + 2x) (-5 * abs + 6x * abs) = abs(1 + 2x) (-5abs + 6absx) = abs(1 + 2x) -5abs + 6absx = (1 * abs + 2x * abs) -5abs + 6absx = (1abs + 2absx) Solving -5abs + 6absx = 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 + 6absx = 1abs + -1abs + 2absx Combine like terms: -5abs + -1abs = -6abs -6abs + 6absx = 1abs + -1abs + 2absx Combine like terms: 1abs + -1abs = 0 -6abs + 6absx = 0 + 2absx -6abs + 6absx = 2absx Add '-2absx' to each side of the equation. -6abs + 6absx + -2absx = 2absx + -2absx Combine like terms: 6absx + -2absx = 4absx -6abs + 4absx = 2absx + -2absx Combine like terms: 2absx + -2absx = 0 -6abs + 4absx = 0 Factor out the Greatest Common Factor (GCF), '2abs'. 2abs(-3 + 2x) = 0 Ignore the factor 2.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 '(-3 + 2x)' equal to zero and attempt to solve: Simplifying -3 + 2x = 0 Solving -3 + 2x = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Add '-2x' to each side of the equation. 2x + -2x = 3 + -2x Combine like terms: 2x + -2x = 0 0 = 3 + -2x Simplifying 0 = 3 + -2x 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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