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Simplifying 3abs(2x + 5) = 9x + -6 Reorder the terms: 3abs(5 + 2x) = 9x + -6 (5 * 3abs + 2x * 3abs) = 9x + -6 (15abs + 6absx) = 9x + -6 Reorder the terms: 15abs + 6absx = -6 + 9x Solving 15abs + 6absx = -6 + 9x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: 6 + 15abs + 6absx + -9x = -6 + 9x + 6 + -9x Reorder the terms: 6 + 15abs + 6absx + -9x = -6 + 6 + 9x + -9x Combine like terms: -6 + 6 = 0 6 + 15abs + 6absx + -9x = 0 + 9x + -9x 6 + 15abs + 6absx + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 6 + 15abs + 6absx + -9x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + 5abs + 2absx + -3x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + 5abs + 2absx + -3x)' equal to zero and attempt to solve: Simplifying 2 + 5abs + 2absx + -3x = 0 Solving 2 + 5abs + 2absx + -3x = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5abs + 2absx + -2 + -3x = 0 + -2 Reorder the terms: 2 + -2 + 5abs + 2absx + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5abs + 2absx + -3x = 0 + -2 5abs + 2absx + -3x = 0 + -2 Combine like terms: 0 + -2 = -2 5abs + 2absx + -3x = -2 Add '3x' to each side of the equation. 5abs + 2absx + -3x + 3x = -2 + 3x Combine like terms: -3x + 3x = 0 5abs + 2absx + 0 = -2 + 3x 5abs + 2absx = -2 + 3x 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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