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Simplifying 2abs(3x + -1) + 2 = 10 Reorder the terms: 2abs(-1 + 3x) + 2 = 10 (-1 * 2abs + 3x * 2abs) + 2 = 10 (-2abs + 6absx) + 2 = 10 Reorder the terms: 2 + -2abs + 6absx = 10 Solving 2 + -2abs + 6absx = 10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2abs + -2 + 6absx = 10 + -2 Reorder the terms: 2 + -2 + -2abs + 6absx = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -2abs + 6absx = 10 + -2 -2abs + 6absx = 10 + -2 Combine like terms: 10 + -2 = 8 -2abs + 6absx = 8 Reorder the terms: -8 + -2abs + 6absx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -2abs + 6absx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -1abs + 3absx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1abs + 3absx)' equal to zero and attempt to solve: Simplifying -4 + -1abs + 3absx = 0 Solving -4 + -1abs + 3absx = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1abs + 4 + 3absx = 0 + 4 Reorder the terms: -4 + 4 + -1abs + 3absx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1abs + 3absx = 0 + 4 -1abs + 3absx = 0 + 4 Combine like terms: 0 + 4 = 4 -1abs + 3absx = 4 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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