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Simplifying 3(x + 3) + 2(x + 6) = 60 Reorder the terms: 3(3 + x) + 2(x + 6) = 60 (3 * 3 + x * 3) + 2(x + 6) = 60 (9 + 3x) + 2(x + 6) = 60 Reorder the terms: 9 + 3x + 2(6 + x) = 60 9 + 3x + (6 * 2 + x * 2) = 60 9 + 3x + (12 + 2x) = 60 Reorder the terms: 9 + 12 + 3x + 2x = 60 Combine like terms: 9 + 12 = 21 21 + 3x + 2x = 60 Combine like terms: 3x + 2x = 5x 21 + 5x = 60 Solving 21 + 5x = 60 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5x = 60 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 60 + -21 5x = 60 + -21 Combine like terms: 60 + -21 = 39 5x = 39 Divide each side by '5'. x = 7.8 Simplifying x = 7.8
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