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