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Simplifying 4(6x + 5) + 7(3x + 2) = 12 Reorder the terms: 4(5 + 6x) + 7(3x + 2) = 12 (5 * 4 + 6x * 4) + 7(3x + 2) = 12 (20 + 24x) + 7(3x + 2) = 12 Reorder the terms: 20 + 24x + 7(2 + 3x) = 12 20 + 24x + (2 * 7 + 3x * 7) = 12 20 + 24x + (14 + 21x) = 12 Reorder the terms: 20 + 14 + 24x + 21x = 12 Combine like terms: 20 + 14 = 34 34 + 24x + 21x = 12 Combine like terms: 24x + 21x = 45x 34 + 45x = 12 Solving 34 + 45x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 45x = 12 + -34 Combine like terms: 34 + -34 = 0 0 + 45x = 12 + -34 45x = 12 + -34 Combine like terms: 12 + -34 = -22 45x = -22 Divide each side by '45'. x = -0.4888888889 Simplifying x = -0.4888888889
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