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Simplifying abs(x + -38) = abs(38 + -1x) Reorder the terms: abs(-38 + x) = abs(38 + -1x) (-38 * abs + x * abs) = abs(38 + -1x) (-38abs + absx) = abs(38 + -1x) -38abs + absx = (38 * abs + -1x * abs) -38abs + absx = (38abs + -1absx) Solving -38abs + absx = 38abs + -1absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-38abs' to each side of the equation. -38abs + -38abs + absx = 38abs + -38abs + -1absx Combine like terms: -38abs + -38abs = -76abs -76abs + absx = 38abs + -38abs + -1absx Combine like terms: 38abs + -38abs = 0 -76abs + absx = 0 + -1absx -76abs + absx = -1absx Add 'absx' to each side of the equation. -76abs + absx + absx = -1absx + absx Combine like terms: absx + absx = 2absx -76abs + 2absx = -1absx + absx Combine like terms: -1absx + absx = 0 -76abs + 2absx = 0 Factor out the Greatest Common Factor (GCF), '2abs'. 2abs(-38 + x) = 0 Ignore the factor 2.Subproblem 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 '(-38 + x)' equal to zero and attempt to solve: Simplifying -38 + x = 0 Solving -38 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + x = 0 + 38 x = 0 + 38 Combine like terms: 0 + 38 = 38 x = 38 Add '-1x' to each side of the equation. x + -1x = 38 + -1x Combine like terms: x + -1x = 0 0 = 38 + -1x Simplifying 0 = 38 + -1x 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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