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Simplifying 2(x + 5) + 5(x + 4) = 9 Reorder the terms: 2(5 + x) + 5(x + 4) = 9 (5 * 2 + x * 2) + 5(x + 4) = 9 (10 + 2x) + 5(x + 4) = 9 Reorder the terms: 10 + 2x + 5(4 + x) = 9 10 + 2x + (4 * 5 + x * 5) = 9 10 + 2x + (20 + 5x) = 9 Reorder the terms: 10 + 20 + 2x + 5x = 9 Combine like terms: 10 + 20 = 30 30 + 2x + 5x = 9 Combine like terms: 2x + 5x = 7x 30 + 7x = 9 Solving 30 + 7x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7x = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 9 + -30 7x = 9 + -30 Combine like terms: 9 + -30 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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