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Simplifying abs(2x + -8) = abs(3x + 6) Reorder the terms: abs(-8 + 2x) = abs(3x + 6) (-8 * abs + 2x * abs) = abs(3x + 6) (-8abs + 2absx) = abs(3x + 6) Reorder the terms: -8abs + 2absx = abs(6 + 3x) -8abs + 2absx = (6 * abs + 3x * abs) -8abs + 2absx = (6abs + 3absx) Solving -8abs + 2absx = 6abs + 3absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6abs' to each side of the equation. -8abs + -6abs + 2absx = 6abs + -6abs + 3absx Combine like terms: -8abs + -6abs = -14abs -14abs + 2absx = 6abs + -6abs + 3absx Combine like terms: 6abs + -6abs = 0 -14abs + 2absx = 0 + 3absx -14abs + 2absx = 3absx Add '-3absx' to each side of the equation. -14abs + 2absx + -3absx = 3absx + -3absx Combine like terms: 2absx + -3absx = -1absx -14abs + -1absx = 3absx + -3absx Combine like terms: 3absx + -3absx = 0 -14abs + -1absx = 0 Factor out the Greatest Common Factor (GCF), '-1abs'. -1abs(14 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'abs' equal to zero and attempt to solve: Simplifying abs = 0 Solving abs = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abs = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Add '-1x' to each side of the equation. x + -1x = -14 + -1x Combine like terms: x + -1x = 0 0 = -14 + -1x Simplifying 0 = -14 + -1x 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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