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Simplifying 14 + 2abs(3x + 5) = 26 Reorder the terms: 14 + 2abs(5 + 3x) = 26 14 + (5 * 2abs + 3x * 2abs) = 26 14 + (10abs + 6absx) = 26 Solving 14 + 10abs + 6absx = 26 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 10abs + -14 + 6absx = 26 + -14 Reorder the terms: 14 + -14 + 10abs + 6absx = 26 + -14 Combine like terms: 14 + -14 = 0 0 + 10abs + 6absx = 26 + -14 10abs + 6absx = 26 + -14 Combine like terms: 26 + -14 = 12 10abs + 6absx = 12 Reorder the terms: -12 + 10abs + 6absx = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 10abs + 6absx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 5abs + 3absx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + 5abs + 3absx)' equal to zero and attempt to solve: Simplifying -6 + 5abs + 3absx = 0 Solving -6 + 5abs + 3absx = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5abs + 6 + 3absx = 0 + 6 Reorder the terms: -6 + 6 + 5abs + 3absx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5abs + 3absx = 0 + 6 5abs + 3absx = 0 + 6 Combine like terms: 0 + 6 = 6 5abs + 3absx = 6 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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