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Simplifying 3(x + 1) + 2(x + 3) = 45 Reorder the terms: 3(1 + x) + 2(x + 3) = 45 (1 * 3 + x * 3) + 2(x + 3) = 45 (3 + 3x) + 2(x + 3) = 45 Reorder the terms: 3 + 3x + 2(3 + x) = 45 3 + 3x + (3 * 2 + x * 2) = 45 3 + 3x + (6 + 2x) = 45 Reorder the terms: 3 + 6 + 3x + 2x = 45 Combine like terms: 3 + 6 = 9 9 + 3x + 2x = 45 Combine like terms: 3x + 2x = 5x 9 + 5x = 45 Solving 9 + 5x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 45 + -9 5x = 45 + -9 Combine like terms: 45 + -9 = 36 5x = 36 Divide each side by '5'. x = 7.2 Simplifying x = 7.2
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