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Simplifying abs(9 + -2x) = abs(4x + -15) (9 * abs + -2x * abs) = abs(4x + -15) (9abs + -2absx) = abs(4x + -15) Reorder the terms: 9abs + -2absx = abs(-15 + 4x) 9abs + -2absx = (-15 * abs + 4x * abs) 9abs + -2absx = (-15abs + 4absx) Solving 9abs + -2absx = -15abs + 4absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15abs' to each side of the equation. 9abs + 15abs + -2absx = -15abs + 15abs + 4absx Combine like terms: 9abs + 15abs = 24abs 24abs + -2absx = -15abs + 15abs + 4absx Combine like terms: -15abs + 15abs = 0 24abs + -2absx = 0 + 4absx 24abs + -2absx = 4absx Add '-4absx' to each side of the equation. 24abs + -2absx + -4absx = 4absx + -4absx Combine like terms: -2absx + -4absx = -6absx 24abs + -6absx = 4absx + -4absx Combine like terms: 4absx + -4absx = 0 24abs + -6absx = 0 Factor out the Greatest Common Factor (GCF), '6abs'. 6abs(4 + -1x) = 0 Ignore the factor 6.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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Add 'x' to each side of the equation. -1x + x = -4 + x Combine like terms: -1x + x = 0 0 = -4 + x Simplifying 0 = -4 + x 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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