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Simplifying x = 4x + rx + 6 Reorder the terms: x = 6 + rx + 4x Solving x = 6 + rx + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1rx' to each side of the equation. -1rx + x = 6 + rx + -1rx + 4x Combine like terms: rx + -1rx = 0 -1rx + x = 6 + 0 + 4x -1rx + x = 6 + 4x Add '-4x' to each side of the equation. -1rx + x + -4x = 6 + 4x + -4x Combine like terms: x + -4x = -3x -1rx + -3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -1rx + -3x = 6 + 0 -1rx + -3x = 6 Reorder the terms: -6 + -1rx + -3x = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -1rx + -3x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + rx + 3x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + rx + 3x)' equal to zero and attempt to solve: Simplifying 6 + rx + 3x = 0 Solving 6 + rx + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + rx + -6 + 3x = 0 + -6 Reorder the terms: 6 + -6 + rx + 3x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + rx + 3x = 0 + -6 rx + 3x = 0 + -6 Combine like terms: 0 + -6 = -6 rx + 3x = -6 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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