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Simplifying abs(9x + 10) = abs(x + -19) Reorder the terms: abs(10 + 9x) = abs(x + -19) (10 * abs + 9x * abs) = abs(x + -19) (10abs + 9absx) = abs(x + -19) Reorder the terms: 10abs + 9absx = abs(-19 + x) 10abs + 9absx = (-19 * abs + x * abs) 10abs + 9absx = (-19abs + absx) Solving 10abs + 9absx = -19abs + absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19abs' to each side of the equation. 10abs + 19abs + 9absx = -19abs + 19abs + absx Combine like terms: 10abs + 19abs = 29abs 29abs + 9absx = -19abs + 19abs + absx Combine like terms: -19abs + 19abs = 0 29abs + 9absx = 0 + absx 29abs + 9absx = absx Add '-1absx' to each side of the equation. 29abs + 9absx + -1absx = absx + -1absx Combine like terms: 9absx + -1absx = 8absx 29abs + 8absx = absx + -1absx Combine like terms: absx + -1absx = 0 29abs + 8absx = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(29 + 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 '(29 + 8x)' equal to zero and attempt to solve: Simplifying 29 + 8x = 0 Solving 29 + 8x = 0 Move all terms containing a to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 8x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 8x = 0 + -29 8x = 0 + -29 Combine like terms: 0 + -29 = -29 8x = -29 Add '-8x' to each side of the equation. 8x + -8x = -29 + -8x Combine like terms: 8x + -8x = 0 0 = -29 + -8x Simplifying 0 = -29 + -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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