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Simplifying abs(7x + -6) = abs(8x + -3) Reorder the terms: abs(-6 + 7x) = abs(8x + -3) (-6 * abs + 7x * abs) = abs(8x + -3) (-6abs + 7absx) = abs(8x + -3) Reorder the terms: -6abs + 7absx = abs(-3 + 8x) -6abs + 7absx = (-3 * abs + 8x * abs) -6abs + 7absx = (-3abs + 8absx) Solving -6abs + 7absx = -3abs + 8absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3abs' to each side of the equation. -6abs + 3abs + 7absx = -3abs + 3abs + 8absx Combine like terms: -6abs + 3abs = -3abs -3abs + 7absx = -3abs + 3abs + 8absx Combine like terms: -3abs + 3abs = 0 -3abs + 7absx = 0 + 8absx -3abs + 7absx = 8absx Add '-8absx' to each side of the equation. -3abs + 7absx + -8absx = 8absx + -8absx Combine like terms: 7absx + -8absx = -1absx -3abs + -1absx = 8absx + -8absx Combine like terms: 8absx + -8absx = 0 -3abs + -1absx = 0 Factor out the Greatest Common Factor (GCF), '-1abs'. -1abs(3 + x) = 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -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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