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Simplifying 6(4x + 5) = 3(c + 8) + 3 Reorder the terms: 6(5 + 4x) = 3(c + 8) + 3 (5 * 6 + 4x * 6) = 3(c + 8) + 3 (30 + 24x) = 3(c + 8) + 3 Reorder the terms: 30 + 24x = 3(8 + c) + 3 30 + 24x = (8 * 3 + c * 3) + 3 30 + 24x = (24 + 3c) + 3 Reorder the terms: 30 + 24x = 24 + 3 + 3c Combine like terms: 24 + 3 = 27 30 + 24x = 27 + 3c Solving 30 + 24x = 27 + 3c Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 24x = 27 + -30 + 3c Combine like terms: 30 + -30 = 0 0 + 24x = 27 + -30 + 3c 24x = 27 + -30 + 3c Combine like terms: 27 + -30 = -3 24x = -3 + 3c Divide each side by '24'. x = -0.125 + 0.125c Simplifying x = -0.125 + 0.125c
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