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Simplifying 12x + 21 = 3(4c + 6) Reorder the terms: 21 + 12x = 3(4c + 6) Reorder the terms: 21 + 12x = 3(6 + 4c) 21 + 12x = (6 * 3 + 4c * 3) 21 + 12x = (18 + 12c) Solving 21 + 12x = 18 + 12c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 12x = 18 + -21 + 12c Combine like terms: 21 + -21 = 0 0 + 12x = 18 + -21 + 12c 12x = 18 + -21 + 12c Combine like terms: 18 + -21 = -3 12x = -3 + 12c Divide each side by '12'. x = -0.25 + c Simplifying x = -0.25 + c
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