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Simplifying (9x + 4) * 3 + (5x + 1) * 4 = 9(x + 3) + (4x + 2) * 3 Reorder the terms: (4 + 9x) * 3 + (5x + 1) * 4 = 9(x + 3) + (4x + 2) * 3 Reorder the terms for easier multiplication: 3(4 + 9x) + (5x + 1) * 4 = 9(x + 3) + (4x + 2) * 3 (4 * 3 + 9x * 3) + (5x + 1) * 4 = 9(x + 3) + (4x + 2) * 3 (12 + 27x) + (5x + 1) * 4 = 9(x + 3) + (4x + 2) * 3 Reorder the terms: 12 + 27x + (1 + 5x) * 4 = 9(x + 3) + (4x + 2) * 3 Reorder the terms for easier multiplication: 12 + 27x + 4(1 + 5x) = 9(x + 3) + (4x + 2) * 3 12 + 27x + (1 * 4 + 5x * 4) = 9(x + 3) + (4x + 2) * 3 12 + 27x + (4 + 20x) = 9(x + 3) + (4x + 2) * 3 Reorder the terms: 12 + 4 + 27x + 20x = 9(x + 3) + (4x + 2) * 3 Combine like terms: 12 + 4 = 16 16 + 27x + 20x = 9(x + 3) + (4x + 2) * 3 Combine like terms: 27x + 20x = 47x 16 + 47x = 9(x + 3) + (4x + 2) * 3 Reorder the terms: 16 + 47x = 9(3 + x) + (4x + 2) * 3 16 + 47x = (3 * 9 + x * 9) + (4x + 2) * 3 16 + 47x = (27 + 9x) + (4x + 2) * 3 Reorder the terms: 16 + 47x = 27 + 9x + (2 + 4x) * 3 Reorder the terms for easier multiplication: 16 + 47x = 27 + 9x + 3(2 + 4x) 16 + 47x = 27 + 9x + (2 * 3 + 4x * 3) 16 + 47x = 27 + 9x + (6 + 12x) Reorder the terms: 16 + 47x = 27 + 6 + 9x + 12x Combine like terms: 27 + 6 = 33 16 + 47x = 33 + 9x + 12x Combine like terms: 9x + 12x = 21x 16 + 47x = 33 + 21x Solving 16 + 47x = 33 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 16 + 47x + -21x = 33 + 21x + -21x Combine like terms: 47x + -21x = 26x 16 + 26x = 33 + 21x + -21x Combine like terms: 21x + -21x = 0 16 + 26x = 33 + 0 16 + 26x = 33 Add '-16' to each side of the equation. 16 + -16 + 26x = 33 + -16 Combine like terms: 16 + -16 = 0 0 + 26x = 33 + -16 26x = 33 + -16 Combine like terms: 33 + -16 = 17 26x = 17 Divide each side by '26'. x = 0.6538461538 Simplifying x = 0.6538461538
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