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