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Simplifying 2abs(2x + -10) = abs(2x + -18) Reorder the terms: 2abs(-10 + 2x) = abs(2x + -18) (-10 * 2abs + 2x * 2abs) = abs(2x + -18) (-20abs + 4absx) = abs(2x + -18) Reorder the terms: -20abs + 4absx = abs(-18 + 2x) -20abs + 4absx = (-18 * abs + 2x * abs) -20abs + 4absx = (-18abs + 2absx) Solving -20abs + 4absx = -18abs + 2absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18abs' to each side of the equation. -20abs + 18abs + 4absx = -18abs + 18abs + 2absx Combine like terms: -20abs + 18abs = -2abs -2abs + 4absx = -18abs + 18abs + 2absx Combine like terms: -18abs + 18abs = 0 -2abs + 4absx = 0 + 2absx -2abs + 4absx = 2absx Add '-2absx' to each side of the equation. -2abs + 4absx + -2absx = 2absx + -2absx Combine like terms: 4absx + -2absx = 2absx -2abs + 2absx = 2absx + -2absx Combine like terms: 2absx + -2absx = 0 -2abs + 2absx = 0 Factor out the Greatest Common Factor (GCF), '2abs'. 2abs(-1 + 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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -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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