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Simplifying 5 + -2abs(3x + -1) = -9 Reorder the terms: 5 + -2abs(-1 + 3x) = -9 5 + (-1 * -2abs + 3x * -2abs) = -9 5 + (2abs + -6absx) = -9 Solving 5 + 2abs + -6absx = -9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2abs + -5 + -6absx = -9 + -5 Reorder the terms: 5 + -5 + 2abs + -6absx = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 2abs + -6absx = -9 + -5 2abs + -6absx = -9 + -5 Combine like terms: -9 + -5 = -14 2abs + -6absx = -14 Reorder the terms: 14 + 2abs + -6absx = -14 + 14 Combine like terms: -14 + 14 = 0 14 + 2abs + -6absx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + abs + -3absx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + abs + -3absx)' equal to zero and attempt to solve: Simplifying 7 + abs + -3absx = 0 Solving 7 + abs + -3absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + abs + -7 + -3absx = 0 + -7 Reorder the terms: 7 + -7 + abs + -3absx = 0 + -7 Combine like terms: 7 + -7 = 0 0 + abs + -3absx = 0 + -7 abs + -3absx = 0 + -7 Combine like terms: 0 + -7 = -7 abs + -3absx = -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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