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Simplifying abs(6x + -5) = abs(-1x + 3) Reorder the terms: abs(-5 + 6x) = abs(-1x + 3) (-5 * abs + 6x * abs) = abs(-1x + 3) (-5abs + 6absx) = abs(-1x + 3) Reorder the terms: -5abs + 6absx = abs(3 + -1x) -5abs + 6absx = (3 * abs + -1x * abs) -5abs + 6absx = (3abs + -1absx) Solving -5abs + 6absx = 3abs + -1absx 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 + 6absx = 3abs + -3abs + -1absx Combine like terms: -5abs + -3abs = -8abs -8abs + 6absx = 3abs + -3abs + -1absx Combine like terms: 3abs + -3abs = 0 -8abs + 6absx = 0 + -1absx -8abs + 6absx = -1absx Add 'absx' to each side of the equation. -8abs + 6absx + absx = -1absx + absx Combine like terms: 6absx + absx = 7absx -8abs + 7absx = -1absx + absx Combine like terms: -1absx + absx = 0 -8abs + 7absx = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(-8 + 7x) = 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 '(-8 + 7x)' equal to zero and attempt to solve: Simplifying -8 + 7x = 0 Solving -8 + 7x = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 0 + 8 7x = 0 + 8 Combine like terms: 0 + 8 = 8 7x = 8 Add '-7x' to each side of the equation. 7x + -7x = 8 + -7x Combine like terms: 7x + -7x = 0 0 = 8 + -7x Simplifying 0 = 8 + -7x 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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