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Simplifying 6(C + 2) + 4(3 + -1X) = 30 Reorder the terms: 6(2 + C) + 4(3 + -1X) = 30 (2 * 6 + C * 6) + 4(3 + -1X) = 30 (12 + 6C) + 4(3 + -1X) = 30 12 + 6C + (3 * 4 + -1X * 4) = 30 12 + 6C + (12 + -4X) = 30 Reorder the terms: 12 + 12 + 6C + -4X = 30 Combine like terms: 12 + 12 = 24 24 + 6C + -4X = 30 Solving 24 + 6C + -4X = 30 Solving for variable 'C'. Move all terms containing C to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 6C + -24 + -4X = 30 + -24 Reorder the terms: 24 + -24 + 6C + -4X = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 6C + -4X = 30 + -24 6C + -4X = 30 + -24 Combine like terms: 30 + -24 = 6 6C + -4X = 6 Add '4X' to each side of the equation. 6C + -4X + 4X = 6 + 4X Combine like terms: -4X + 4X = 0 6C + 0 = 6 + 4X 6C = 6 + 4X Divide each side by '6'. C = 1 + 0.6666666667X Simplifying C = 1 + 0.6666666667X
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