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Simplifying 3(x + 2) + 5(x + 3) = 60 Reorder the terms: 3(2 + x) + 5(x + 3) = 60 (2 * 3 + x * 3) + 5(x + 3) = 60 (6 + 3x) + 5(x + 3) = 60 Reorder the terms: 6 + 3x + 5(3 + x) = 60 6 + 3x + (3 * 5 + x * 5) = 60 6 + 3x + (15 + 5x) = 60 Reorder the terms: 6 + 15 + 3x + 5x = 60 Combine like terms: 6 + 15 = 21 21 + 3x + 5x = 60 Combine like terms: 3x + 5x = 8x 21 + 8x = 60 Solving 21 + 8x = 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 + 8x = 60 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = 60 + -21 8x = 60 + -21 Combine like terms: 60 + -21 = 39 8x = 39 Divide each side by '8'. x = 4.875 Simplifying x = 4.875
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