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Simplifying 2(3x + 4) + 3(x + 4) = -41 Reorder the terms: 2(4 + 3x) + 3(x + 4) = -41 (4 * 2 + 3x * 2) + 3(x + 4) = -41 (8 + 6x) + 3(x + 4) = -41 Reorder the terms: 8 + 6x + 3(4 + x) = -41 8 + 6x + (4 * 3 + x * 3) = -41 8 + 6x + (12 + 3x) = -41 Reorder the terms: 8 + 12 + 6x + 3x = -41 Combine like terms: 8 + 12 = 20 20 + 6x + 3x = -41 Combine like terms: 6x + 3x = 9x 20 + 9x = -41 Solving 20 + 9x = -41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 9x = -41 + -20 Combine like terms: 20 + -20 = 0 0 + 9x = -41 + -20 9x = -41 + -20 Combine like terms: -41 + -20 = -61 9x = -61 Divide each side by '9'. x = -6.777777778 Simplifying x = -6.777777778
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