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Simplifying abs(1 + -3abs(x + -5)) = 2abs(4x + -3) Reorder the terms: abs(1 + -3abs(-5 + x)) = 2abs(4x + -3) abs(1 + (-5 * -3abs + x * -3abs)) = 2abs(4x + -3) abs(1 + (15abs + -3absx)) = 2abs(4x + -3) (1 * abs + 15abs * abs + -3absx * abs) = 2abs(4x + -3) (1abs + 15a2b2s2 + -3a2b2s2x) = 2abs(4x + -3) Reorder the terms: 1abs + 15a2b2s2 + -3a2b2s2x = 2abs(-3 + 4x) 1abs + 15a2b2s2 + -3a2b2s2x = (-3 * 2abs + 4x * 2abs) 1abs + 15a2b2s2 + -3a2b2s2x = (-6abs + 8absx) Solving 1abs + 15a2b2s2 + -3a2b2s2x = -6abs + 8absx Solving for variable 'a'. Reorder the terms: 1abs + 6abs + -8absx + 15a2b2s2 + -3a2b2s2x = -6abs + 8absx + 6abs + -8absx Combine like terms: 1abs + 6abs = 7abs 7abs + -8absx + 15a2b2s2 + -3a2b2s2x = -6abs + 8absx + 6abs + -8absx Reorder the terms: 7abs + -8absx + 15a2b2s2 + -3a2b2s2x = -6abs + 6abs + 8absx + -8absx Combine like terms: -6abs + 6abs = 0 7abs + -8absx + 15a2b2s2 + -3a2b2s2x = 0 + 8absx + -8absx 7abs + -8absx + 15a2b2s2 + -3a2b2s2x = 8absx + -8absx Combine like terms: 8absx + -8absx = 0 7abs + -8absx + 15a2b2s2 + -3a2b2s2x = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(7 + -8x + 15abs + -3absx) = 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 '(7 + -8x + 15abs + -3absx)' equal to zero and attempt to solve: Simplifying 7 + -8x + 15abs + -3absx = 0 Reorder the terms: 7 + 15abs + -3absx + -8x = 0 Solving 7 + 15abs + -3absx + -8x = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 15abs + -3absx + -7 + -8x = 0 + -7 Reorder the terms: 7 + -7 + 15abs + -3absx + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 15abs + -3absx + -8x = 0 + -7 15abs + -3absx + -8x = 0 + -7 Combine like terms: 0 + -7 = -7 15abs + -3absx + -8x = -7 Add '8x' to each side of the equation. 15abs + -3absx + -8x + 8x = -7 + 8x Combine like terms: -8x + 8x = 0 15abs + -3absx + 0 = -7 + 8x 15abs + -3absx = -7 + 8x 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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