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Simplifying abs(9x + 2) = abs(x + -9) Reorder the terms: abs(2 + 9x) = abs(x + -9) (2 * abs + 9x * abs) = abs(x + -9) (2abs + 9absx) = abs(x + -9) Reorder the terms: 2abs + 9absx = abs(-9 + x) 2abs + 9absx = (-9 * abs + x * abs) 2abs + 9absx = (-9abs + absx) Solving 2abs + 9absx = -9abs + absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9abs' to each side of the equation. 2abs + 9abs + 9absx = -9abs + 9abs + absx Combine like terms: 2abs + 9abs = 11abs 11abs + 9absx = -9abs + 9abs + absx Combine like terms: -9abs + 9abs = 0 11abs + 9absx = 0 + absx 11abs + 9absx = absx Add '-1absx' to each side of the equation. 11abs + 9absx + -1absx = absx + -1absx Combine like terms: 9absx + -1absx = 8absx 11abs + 8absx = absx + -1absx Combine like terms: absx + -1absx = 0 11abs + 8absx = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(11 + 8x) = 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 '(11 + 8x)' equal to zero and attempt to solve: Simplifying 11 + 8x = 0 Solving 11 + 8x = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 8x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = 0 + -11 8x = 0 + -11 Combine like terms: 0 + -11 = -11 8x = -11 Add '-8x' to each side of the equation. 8x + -8x = -11 + -8x Combine like terms: 8x + -8x = 0 0 = -11 + -8x Simplifying 0 = -11 + -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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