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Simplifying 3c + -4cX + 1 = 5c + 2 + 3 Reorder the terms: 1 + 3c + -4cX = 5c + 2 + 3 Reorder the terms: 1 + 3c + -4cX = 2 + 3 + 5c Combine like terms: 2 + 3 = 5 1 + 3c + -4cX = 5 + 5c Solving 1 + 3c + -4cX = 5 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 1 + 3c + -5c + -4cX = 5 + 5c + -5c Combine like terms: 3c + -5c = -2c 1 + -2c + -4cX = 5 + 5c + -5c Combine like terms: 5c + -5c = 0 1 + -2c + -4cX = 5 + 0 1 + -2c + -4cX = 5 Add '-1' to each side of the equation. 1 + -2c + -1 + -4cX = 5 + -1 Reorder the terms: 1 + -1 + -2c + -4cX = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -2c + -4cX = 5 + -1 -2c + -4cX = 5 + -1 Combine like terms: 5 + -1 = 4 -2c + -4cX = 4 Reorder the terms: -4 + -2c + -4cX = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -2c + -4cX = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(2 + c + 2cX) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(2 + c + 2cX)' equal to zero and attempt to solve: Simplifying 2 + c + 2cX = 0 Solving 2 + c + 2cX = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + c + -2 + 2cX = 0 + -2 Reorder the terms: 2 + -2 + c + 2cX = 0 + -2 Combine like terms: 2 + -2 = 0 0 + c + 2cX = 0 + -2 c + 2cX = 0 + -2 Combine like terms: 0 + -2 = -2 c + 2cX = -2 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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