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Simplifying 6x = cx Solving 6x = cx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1cx' to each side of the equation. -1cx + 6x = cx + -1cx Combine like terms: cx + -1cx = 0 -1cx + 6x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1c + 6) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1c + 6)' equal to zero and attempt to solve: Simplifying -1c + 6 = 0 Reorder the terms: 6 + -1c = 0 Solving 6 + -1c = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1c = 0 + -6 -1c = 0 + -6 Combine like terms: 0 + -6 = -6 -1c = -6 Add 'c' to each side of the equation. -1c + c = -6 + c Combine like terms: -1c + c = 0 0 = -6 + c Simplifying 0 = -6 + c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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