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Simplifying abs(6x + -10) = abs(2x + 17) Reorder the terms: abs(-10 + 6x) = abs(2x + 17) (-10 * abs + 6x * abs) = abs(2x + 17) (-10abs + 6absx) = abs(2x + 17) Reorder the terms: -10abs + 6absx = abs(17 + 2x) -10abs + 6absx = (17 * abs + 2x * abs) -10abs + 6absx = (17abs + 2absx) Solving -10abs + 6absx = 17abs + 2absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17abs' to each side of the equation. -10abs + -17abs + 6absx = 17abs + -17abs + 2absx Combine like terms: -10abs + -17abs = -27abs -27abs + 6absx = 17abs + -17abs + 2absx Combine like terms: 17abs + -17abs = 0 -27abs + 6absx = 0 + 2absx -27abs + 6absx = 2absx Add '-2absx' to each side of the equation. -27abs + 6absx + -2absx = 2absx + -2absx Combine like terms: 6absx + -2absx = 4absx -27abs + 4absx = 2absx + -2absx Combine like terms: 2absx + -2absx = 0 -27abs + 4absx = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(-27 + 4x) = 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 '(-27 + 4x)' equal to zero and attempt to solve: Simplifying -27 + 4x = 0 Solving -27 + 4x = 0 Move all terms containing a to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 4x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 4x = 0 + 27 4x = 0 + 27 Combine like terms: 0 + 27 = 27 4x = 27 Add '-4x' to each side of the equation. 4x + -4x = 27 + -4x Combine like terms: 4x + -4x = 0 0 = 27 + -4x Simplifying 0 = 27 + -4x 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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