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Simplifying 7 + -4x = cx + 7 Reorder the terms: 7 + -4x = 7 + cx Add '-7' to each side of the equation. 7 + -7 + -4x = 7 + -7 + cx Combine like terms: 7 + -7 = 0 0 + -4x = 7 + -7 + cx -4x = 7 + -7 + cx Combine like terms: 7 + -7 = 0 -4x = 0 + cx -4x = cx Solving -4x = 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 + -4x = cx + -1cx Combine like terms: cx + -1cx = 0 -1cx + -4x = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(c + 4) = 0 Ignore the factor -1.Subproblem 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 '(c + 4)' equal to zero and attempt to solve: Simplifying c + 4 = 0 Reorder the terms: 4 + c = 0 Solving 4 + c = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + c = 0 + -4 c = 0 + -4 Combine like terms: 0 + -4 = -4 c = -4 Add '-1c' to each side of the equation. c + -1c = -4 + -1c Combine like terms: c + -1c = 0 0 = -4 + -1c Simplifying 0 = -4 + -1c 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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