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Simplifying (3x + -1c)(x + -3) = 12 Reorder the terms: (-1c + 3x)(x + -3) = 12 Reorder the terms: (-1c + 3x)(-3 + x) = 12 Multiply (-1c + 3x) * (-3 + x) (-1c * (-3 + x) + 3x * (-3 + x)) = 12 ((-3 * -1c + x * -1c) + 3x * (-3 + x)) = 12 ((3c + -1cx) + 3x * (-3 + x)) = 12 (3c + -1cx + (-3 * 3x + x * 3x)) = 12 (3c + -1cx + (-9x + 3x2)) = 12 (3c + -1cx + -9x + 3x2) = 12 Solving 3c + -1cx + -9x + 3x2 = 12 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9x' to each side of the equation. 3c + -1cx + -9x + 9x + 3x2 = 12 + 9x Combine like terms: -9x + 9x = 0 3c + -1cx + 0 + 3x2 = 12 + 9x 3c + -1cx + 3x2 = 12 + 9x Add '-3x2' to each side of the equation. 3c + -1cx + 3x2 + -3x2 = 12 + 9x + -3x2 Combine like terms: 3x2 + -3x2 = 0 3c + -1cx + 0 = 12 + 9x + -3x2 3c + -1cx = 12 + 9x + -3x2 Reorder the terms: -12 + 3c + -1cx + -9x + 3x2 = 12 + 9x + -3x2 + -12 + -9x + 3x2 Reorder the terms: -12 + 3c + -1cx + -9x + 3x2 = 12 + -12 + 9x + -9x + -3x2 + 3x2 Combine like terms: 12 + -12 = 0 -12 + 3c + -1cx + -9x + 3x2 = 0 + 9x + -9x + -3x2 + 3x2 -12 + 3c + -1cx + -9x + 3x2 = 9x + -9x + -3x2 + 3x2 Combine like terms: 9x + -9x = 0 -12 + 3c + -1cx + -9x + 3x2 = 0 + -3x2 + 3x2 -12 + 3c + -1cx + -9x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -12 + 3c + -1cx + -9x + 3x2 = 0 The solution to this equation could not be determined.
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