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Simplifying 3(x + 2) + 2(x + 5) = 66 Reorder the terms: 3(2 + x) + 2(x + 5) = 66 (2 * 3 + x * 3) + 2(x + 5) = 66 (6 + 3x) + 2(x + 5) = 66 Reorder the terms: 6 + 3x + 2(5 + x) = 66 6 + 3x + (5 * 2 + x * 2) = 66 6 + 3x + (10 + 2x) = 66 Reorder the terms: 6 + 10 + 3x + 2x = 66 Combine like terms: 6 + 10 = 16 16 + 3x + 2x = 66 Combine like terms: 3x + 2x = 5x 16 + 5x = 66 Solving 16 + 5x = 66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5x = 66 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 66 + -16 5x = 66 + -16 Combine like terms: 66 + -16 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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