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