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Simplifying 2(3x + 4) + 4(2x + 1) = 0 Reorder the terms: 2(4 + 3x) + 4(2x + 1) = 0 (4 * 2 + 3x * 2) + 4(2x + 1) = 0 (8 + 6x) + 4(2x + 1) = 0 Reorder the terms: 8 + 6x + 4(1 + 2x) = 0 8 + 6x + (1 * 4 + 2x * 4) = 0 8 + 6x + (4 + 8x) = 0 Reorder the terms: 8 + 4 + 6x + 8x = 0 Combine like terms: 8 + 4 = 12 12 + 6x + 8x = 0 Combine like terms: 6x + 8x = 14x 12 + 14x = 0 Solving 12 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 14x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 0 + -12 14x = 0 + -12 Combine like terms: 0 + -12 = -12 14x = -12 Divide each side by '14'. x = -0.8571428571 Simplifying x = -0.8571428571
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