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Simplifying abs(3x + -6) + -7 = 14 Reorder the terms: abs(-6 + 3x) + -7 = 14 (-6 * abs + 3x * abs) + -7 = 14 (-6abs + 3absx) + -7 = 14 Reorder the terms: -7 + -6abs + 3absx = 14 Solving -7 + -6abs + 3absx = 14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -6abs + 7 + 3absx = 14 + 7 Reorder the terms: -7 + 7 + -6abs + 3absx = 14 + 7 Combine like terms: -7 + 7 = 0 0 + -6abs + 3absx = 14 + 7 -6abs + 3absx = 14 + 7 Combine like terms: 14 + 7 = 21 -6abs + 3absx = 21 Reorder the terms: -21 + -6abs + 3absx = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + -6abs + 3absx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + -2abs + absx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -2abs + absx)' equal to zero and attempt to solve: Simplifying -7 + -2abs + absx = 0 Solving -7 + -2abs + absx = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -2abs + 7 + absx = 0 + 7 Reorder the terms: -7 + 7 + -2abs + absx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2abs + absx = 0 + 7 -2abs + absx = 0 + 7 Combine like terms: 0 + 7 = 7 -2abs + absx = 7 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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