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