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Simplifying abs(3x + 60) = abs(4x + 20) Reorder the terms: abs(60 + 3x) = abs(4x + 20) (60 * abs + 3x * abs) = abs(4x + 20) (60abs + 3absx) = abs(4x + 20) Reorder the terms: 60abs + 3absx = abs(20 + 4x) 60abs + 3absx = (20 * abs + 4x * abs) 60abs + 3absx = (20abs + 4absx) Solving 60abs + 3absx = 20abs + 4absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20abs' to each side of the equation. 60abs + -20abs + 3absx = 20abs + -20abs + 4absx Combine like terms: 60abs + -20abs = 40abs 40abs + 3absx = 20abs + -20abs + 4absx Combine like terms: 20abs + -20abs = 0 40abs + 3absx = 0 + 4absx 40abs + 3absx = 4absx Add '-4absx' to each side of the equation. 40abs + 3absx + -4absx = 4absx + -4absx Combine like terms: 3absx + -4absx = -1absx 40abs + -1absx = 4absx + -4absx Combine like terms: 4absx + -4absx = 0 40abs + -1absx = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(40 + -1x) = 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 '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Add 'x' to each side of the equation. -1x + x = -40 + x Combine like terms: -1x + x = 0 0 = -40 + x Simplifying 0 = -40 + x 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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