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Simplifying abs(8x + -2) = abs(3x + -8) Reorder the terms: abs(-2 + 8x) = abs(3x + -8) (-2 * abs + 8x * abs) = abs(3x + -8) (-2abs + 8absx) = abs(3x + -8) Reorder the terms: -2abs + 8absx = abs(-8 + 3x) -2abs + 8absx = (-8 * abs + 3x * abs) -2abs + 8absx = (-8abs + 3absx) Solving -2abs + 8absx = -8abs + 3absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8abs' to each side of the equation. -2abs + 8abs + 8absx = -8abs + 8abs + 3absx Combine like terms: -2abs + 8abs = 6abs 6abs + 8absx = -8abs + 8abs + 3absx Combine like terms: -8abs + 8abs = 0 6abs + 8absx = 0 + 3absx 6abs + 8absx = 3absx Add '-3absx' to each side of the equation. 6abs + 8absx + -3absx = 3absx + -3absx Combine like terms: 8absx + -3absx = 5absx 6abs + 5absx = 3absx + -3absx Combine like terms: 3absx + -3absx = 0 6abs + 5absx = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(6 + 5x) = 0Subproblem 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 '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Add '-5x' to each side of the equation. 5x + -5x = -6 + -5x Combine like terms: 5x + -5x = 0 0 = -6 + -5x Simplifying 0 = -6 + -5x 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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