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Simplifying 2x + 3 = 4cx + 5 Reorder the terms: 3 + 2x = 4cx + 5 Reorder the terms: 3 + 2x = 5 + 4cx Solving 3 + 2x = 5 + 4cx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4cx' to each side of the equation. 3 + -4cx + 2x = 5 + 4cx + -4cx Combine like terms: 4cx + -4cx = 0 3 + -4cx + 2x = 5 + 0 3 + -4cx + 2x = 5 Add '-3' to each side of the equation. 3 + -4cx + -3 + 2x = 5 + -3 Reorder the terms: 3 + -3 + -4cx + 2x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -4cx + 2x = 5 + -3 -4cx + 2x = 5 + -3 Combine like terms: 5 + -3 = 2 -4cx + 2x = 2 Reorder the terms: -2 + -4cx + 2x = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -4cx + 2x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -2cx + x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -2cx + x)' equal to zero and attempt to solve: Simplifying -1 + -2cx + x = 0 Solving -1 + -2cx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2cx + 1 + x = 0 + 1 Reorder the terms: -1 + 1 + -2cx + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2cx + x = 0 + 1 -2cx + x = 0 + 1 Combine like terms: 0 + 1 = 1 -2cx + x = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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