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Simplifying 5(x + 2) + 4(x + 3) = 0 Reorder the terms: 5(2 + x) + 4(x + 3) = 0 (2 * 5 + x * 5) + 4(x + 3) = 0 (10 + 5x) + 4(x + 3) = 0 Reorder the terms: 10 + 5x + 4(3 + x) = 0 10 + 5x + (3 * 4 + x * 4) = 0 10 + 5x + (12 + 4x) = 0 Reorder the terms: 10 + 12 + 5x + 4x = 0 Combine like terms: 10 + 12 = 22 22 + 5x + 4x = 0 Combine like terms: 5x + 4x = 9x 22 + 9x = 0 Solving 22 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 9x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 9x = 0 + -22 9x = 0 + -22 Combine like terms: 0 + -22 = -22 9x = -22 Divide each side by '9'. x = -2.444444444 Simplifying x = -2.444444444
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