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Simplifying 2abs(4x + 2) + 18 = 6 Reorder the terms: 2abs(2 + 4x) + 18 = 6 (2 * 2abs + 4x * 2abs) + 18 = 6 (4abs + 8absx) + 18 = 6 Reorder the terms: 18 + 4abs + 8absx = 6 Solving 18 + 4abs + 8absx = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 4abs + -18 + 8absx = 6 + -18 Reorder the terms: 18 + -18 + 4abs + 8absx = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 4abs + 8absx = 6 + -18 4abs + 8absx = 6 + -18 Combine like terms: 6 + -18 = -12 4abs + 8absx = -12 Reorder the terms: 12 + 4abs + 8absx = -12 + 12 Combine like terms: -12 + 12 = 0 12 + 4abs + 8absx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(3 + abs + 2absx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + abs + 2absx)' equal to zero and attempt to solve: Simplifying 3 + abs + 2absx = 0 Solving 3 + abs + 2absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + abs + -3 + 2absx = 0 + -3 Reorder the terms: 3 + -3 + abs + 2absx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + abs + 2absx = 0 + -3 abs + 2absx = 0 + -3 Combine like terms: 0 + -3 = -3 abs + 2absx = -3 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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