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Simplifying 2(3x + 4) + 4(4x + 9) = 0 Reorder the terms: 2(4 + 3x) + 4(4x + 9) = 0 (4 * 2 + 3x * 2) + 4(4x + 9) = 0 (8 + 6x) + 4(4x + 9) = 0 Reorder the terms: 8 + 6x + 4(9 + 4x) = 0 8 + 6x + (9 * 4 + 4x * 4) = 0 8 + 6x + (36 + 16x) = 0 Reorder the terms: 8 + 36 + 6x + 16x = 0 Combine like terms: 8 + 36 = 44 44 + 6x + 16x = 0 Combine like terms: 6x + 16x = 22x 44 + 22x = 0 Solving 44 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 22x = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 22x = 0 + -44 22x = 0 + -44 Combine like terms: 0 + -44 = -44 22x = -44 Divide each side by '22'. x = -2 Simplifying x = -2
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