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Simplifying 2(x + 5) + 3(x + 4) = 42 Reorder the terms: 2(5 + x) + 3(x + 4) = 42 (5 * 2 + x * 2) + 3(x + 4) = 42 (10 + 2x) + 3(x + 4) = 42 Reorder the terms: 10 + 2x + 3(4 + x) = 42 10 + 2x + (4 * 3 + x * 3) = 42 10 + 2x + (12 + 3x) = 42 Reorder the terms: 10 + 12 + 2x + 3x = 42 Combine like terms: 10 + 12 = 22 22 + 2x + 3x = 42 Combine like terms: 2x + 3x = 5x 22 + 5x = 42 Solving 22 + 5x = 42 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 + 5x = 42 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 42 + -22 5x = 42 + -22 Combine like terms: 42 + -22 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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