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Simplifying 6(4x + 5) = 3(x + 3) + 3 Reorder the terms: 6(5 + 4x) = 3(x + 3) + 3 (5 * 6 + 4x * 6) = 3(x + 3) + 3 (30 + 24x) = 3(x + 3) + 3 Reorder the terms: 30 + 24x = 3(3 + x) + 3 30 + 24x = (3 * 3 + x * 3) + 3 30 + 24x = (9 + 3x) + 3 Reorder the terms: 30 + 24x = 9 + 3 + 3x Combine like terms: 9 + 3 = 12 30 + 24x = 12 + 3x Solving 30 + 24x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + 24x + -3x = 12 + 3x + -3x Combine like terms: 24x + -3x = 21x 30 + 21x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 21x = 12 + 0 30 + 21x = 12 Add '-30' to each side of the equation. 30 + -30 + 21x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 21x = 12 + -30 21x = 12 + -30 Combine like terms: 12 + -30 = -18 21x = -18 Divide each side by '21'. x = -0.8571428571 Simplifying x = -0.8571428571
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