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Simplifying abs(-4x + -7) = abs(9 + 7x) Reorder the terms: abs(-7 + -4x) = abs(9 + 7x) (-7 * abs + -4x * abs) = abs(9 + 7x) (-7abs + -4absx) = abs(9 + 7x) -7abs + -4absx = (9 * abs + 7x * abs) -7abs + -4absx = (9abs + 7absx) Solving -7abs + -4absx = 9abs + 7absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9abs' to each side of the equation. -7abs + -9abs + -4absx = 9abs + -9abs + 7absx Combine like terms: -7abs + -9abs = -16abs -16abs + -4absx = 9abs + -9abs + 7absx Combine like terms: 9abs + -9abs = 0 -16abs + -4absx = 0 + 7absx -16abs + -4absx = 7absx Add '-7absx' to each side of the equation. -16abs + -4absx + -7absx = 7absx + -7absx Combine like terms: -4absx + -7absx = -11absx -16abs + -11absx = 7absx + -7absx Combine like terms: 7absx + -7absx = 0 -16abs + -11absx = 0 Factor out the Greatest Common Factor (GCF), '-1abs'. -1abs(16 + 11x) = 0 Ignore the factor -1.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 '(16 + 11x)' equal to zero and attempt to solve: Simplifying 16 + 11x = 0 Solving 16 + 11x = 0 Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 11x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 11x = 0 + -16 11x = 0 + -16 Combine like terms: 0 + -16 = -16 11x = -16 Add '-11x' to each side of the equation. 11x + -11x = -16 + -11x Combine like terms: 11x + -11x = 0 0 = -16 + -11x Simplifying 0 = -16 + -11x 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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