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Simplifying 12 + abs(14x + 2) = 8 Reorder the terms: 12 + abs(2 + 14x) = 8 12 + (2 * abs + 14x * abs) = 8 12 + (2abs + 14absx) = 8 Solving 12 + 2abs + 14absx = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2abs + -12 + 14absx = 8 + -12 Reorder the terms: 12 + -12 + 2abs + 14absx = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 2abs + 14absx = 8 + -12 2abs + 14absx = 8 + -12 Combine like terms: 8 + -12 = -4 2abs + 14absx = -4 Reorder the terms: 4 + 2abs + 14absx = -4 + 4 Combine like terms: -4 + 4 = 0 4 + 2abs + 14absx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + abs + 7absx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + abs + 7absx)' equal to zero and attempt to solve: Simplifying 2 + abs + 7absx = 0 Solving 2 + abs + 7absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + abs + -2 + 7absx = 0 + -2 Reorder the terms: 2 + -2 + abs + 7absx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + abs + 7absx = 0 + -2 abs + 7absx = 0 + -2 Combine like terms: 0 + -2 = -2 abs + 7absx = -2 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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