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Simplifying 2abs(4x + -5) + -2 = -4 Reorder the terms: 2abs(-5 + 4x) + -2 = -4 (-5 * 2abs + 4x * 2abs) + -2 = -4 (-10abs + 8absx) + -2 = -4 Reorder the terms: -2 + -10abs + 8absx = -4 Solving -2 + -10abs + 8absx = -4 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 + -10abs + 2 + 8absx = -4 + 2 Reorder the terms: -2 + 2 + -10abs + 8absx = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -10abs + 8absx = -4 + 2 -10abs + 8absx = -4 + 2 Combine like terms: -4 + 2 = -2 -10abs + 8absx = -2 Reorder the terms: 2 + -10abs + 8absx = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -10abs + 8absx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -5abs + 4absx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -5abs + 4absx)' equal to zero and attempt to solve: Simplifying 1 + -5abs + 4absx = 0 Solving 1 + -5abs + 4absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -5abs + -1 + 4absx = 0 + -1 Reorder the terms: 1 + -1 + -5abs + 4absx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5abs + 4absx = 0 + -1 -5abs + 4absx = 0 + -1 Combine like terms: 0 + -1 = -1 -5abs + 4absx = -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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