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Simplifying abs(6x + -4) + 5 = 3 Reorder the terms: abs(-4 + 6x) + 5 = 3 (-4 * abs + 6x * abs) + 5 = 3 (-4abs + 6absx) + 5 = 3 Reorder the terms: 5 + -4abs + 6absx = 3 Solving 5 + -4abs + 6absx = 3 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 + -4abs + -5 + 6absx = 3 + -5 Reorder the terms: 5 + -5 + -4abs + 6absx = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -4abs + 6absx = 3 + -5 -4abs + 6absx = 3 + -5 Combine like terms: 3 + -5 = -2 -4abs + 6absx = -2 Reorder the terms: 2 + -4abs + 6absx = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -4abs + 6absx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -2abs + 3absx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -2abs + 3absx)' equal to zero and attempt to solve: Simplifying 1 + -2abs + 3absx = 0 Solving 1 + -2abs + 3absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2abs + -1 + 3absx = 0 + -1 Reorder the terms: 1 + -1 + -2abs + 3absx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2abs + 3absx = 0 + -1 -2abs + 3absx = 0 + -1 Combine like terms: 0 + -1 = -1 -2abs + 3absx = -1 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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