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Simplifying 2(x + 4) + 3(x + 5) = 43 Reorder the terms: 2(4 + x) + 3(x + 5) = 43 (4 * 2 + x * 2) + 3(x + 5) = 43 (8 + 2x) + 3(x + 5) = 43 Reorder the terms: 8 + 2x + 3(5 + x) = 43 8 + 2x + (5 * 3 + x * 3) = 43 8 + 2x + (15 + 3x) = 43 Reorder the terms: 8 + 15 + 2x + 3x = 43 Combine like terms: 8 + 15 = 23 23 + 2x + 3x = 43 Combine like terms: 2x + 3x = 5x 23 + 5x = 43 Solving 23 + 5x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 5x = 43 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 43 + -23 5x = 43 + -23 Combine like terms: 43 + -23 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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