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