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Simplifying 4(8x + 9 + 12x + -4) = 9(4x + 8 + -3 + 6) + 2 Reorder the terms: 4(9 + -4 + 8x + 12x) = 9(4x + 8 + -3 + 6) + 2 Combine like terms: 9 + -4 = 5 4(5 + 8x + 12x) = 9(4x + 8 + -3 + 6) + 2 Combine like terms: 8x + 12x = 20x 4(5 + 20x) = 9(4x + 8 + -3 + 6) + 2 (5 * 4 + 20x * 4) = 9(4x + 8 + -3 + 6) + 2 (20 + 80x) = 9(4x + 8 + -3 + 6) + 2 Reorder the terms: 20 + 80x = 9(8 + -3 + 6 + 4x) + 2 Combine like terms: 8 + -3 = 5 20 + 80x = 9(5 + 6 + 4x) + 2 Combine like terms: 5 + 6 = 11 20 + 80x = 9(11 + 4x) + 2 20 + 80x = (11 * 9 + 4x * 9) + 2 20 + 80x = (99 + 36x) + 2 Reorder the terms: 20 + 80x = 99 + 2 + 36x Combine like terms: 99 + 2 = 101 20 + 80x = 101 + 36x Solving 20 + 80x = 101 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 20 + 80x + -36x = 101 + 36x + -36x Combine like terms: 80x + -36x = 44x 20 + 44x = 101 + 36x + -36x Combine like terms: 36x + -36x = 0 20 + 44x = 101 + 0 20 + 44x = 101 Add '-20' to each side of the equation. 20 + -20 + 44x = 101 + -20 Combine like terms: 20 + -20 = 0 0 + 44x = 101 + -20 44x = 101 + -20 Combine like terms: 101 + -20 = 81 44x = 81 Divide each side by '44'. x = 1.840909091 Simplifying x = 1.840909091
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