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Simplifying 2(x + 4) + 3(x + 7) = 0 Reorder the terms: 2(4 + x) + 3(x + 7) = 0 (4 * 2 + x * 2) + 3(x + 7) = 0 (8 + 2x) + 3(x + 7) = 0 Reorder the terms: 8 + 2x + 3(7 + x) = 0 8 + 2x + (7 * 3 + x * 3) = 0 8 + 2x + (21 + 3x) = 0 Reorder the terms: 8 + 21 + 2x + 3x = 0 Combine like terms: 8 + 21 = 29 29 + 2x + 3x = 0 Combine like terms: 2x + 3x = 5x 29 + 5x = 0 Solving 29 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 5x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 5x = 0 + -29 5x = 0 + -29 Combine like terms: 0 + -29 = -29 5x = -29 Divide each side by '5'. x = -5.8 Simplifying x = -5.8
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