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Simplifying abs(6x + -8) = 2x Reorder the terms: abs(-8 + 6x) = 2x (-8 * abs + 6x * abs) = 2x (-8abs + 6absx) = 2x Solving -8abs + 6absx = 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Combine like terms: 2x + -2x = 0 -8abs + 6absx + -2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4abs + 3absx + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4abs + 3absx + -1x)' equal to zero and attempt to solve: Simplifying -4abs + 3absx + -1x = 0 Solving -4abs + 3absx + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. -4abs + 3absx + -1x + x = 0 + x Combine like terms: -1x + x = 0 -4abs + 3absx + 0 = 0 + x -4abs + 3absx = 0 + x Remove the zero: -4abs + 3absx = x 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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