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Simplifying abs(6x + -12) = 6 Reorder the terms: abs(-12 + 6x) = 6 (-12 * abs + 6x * abs) = 6 (-12abs + 6absx) = 6 Solving -12abs + 6absx = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -6 + -12abs + 6absx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -12abs + 6absx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-1 + -2abs + absx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + -2abs + absx)' equal to zero and attempt to solve: Simplifying -1 + -2abs + absx = 0 Solving -1 + -2abs + absx = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2abs + 1 + absx = 0 + 1 Reorder the terms: -1 + 1 + -2abs + absx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2abs + absx = 0 + 1 -2abs + absx = 0 + 1 Combine like terms: 0 + 1 = 1 -2abs + absx = 1 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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