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Simplifying 5xc + 2xc = 5c + 2c Combine like terms: 5cx + 2cx = 7cx 7cx = 5c + 2c Combine like terms: 5c + 2c = 7c 7cx = 7c Solving 7cx = 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -7c + 7cx = 7c + -7c Combine like terms: 7c + -7c = 0 -7c + 7cx = 0 Factor out the Greatest Common Factor (GCF), '7c'. 7c(-1 + x) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
c = {0}
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