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Simplifying 12x + 5x = cx Combine like terms: 12x + 5x = 17x 17x = cx Solving 17x = 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 + 17x = cx + -1cx Combine like terms: cx + -1cx = 0 -1cx + 17x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1c + 17) = 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 + 17)' equal to zero and attempt to solve: Simplifying -1c + 17 = 0 Reorder the terms: 17 + -1c = 0 Solving 17 + -1c = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1c = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1c = 0 + -17 -1c = 0 + -17 Combine like terms: 0 + -17 = -17 -1c = -17 Add 'c' to each side of the equation. -1c + c = -17 + c Combine like terms: -1c + c = 0 0 = -17 + c Simplifying 0 = -17 + 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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