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Simplifying 3(x + 7) + 6(2x + 3) = 69 Reorder the terms: 3(7 + x) + 6(2x + 3) = 69 (7 * 3 + x * 3) + 6(2x + 3) = 69 (21 + 3x) + 6(2x + 3) = 69 Reorder the terms: 21 + 3x + 6(3 + 2x) = 69 21 + 3x + (3 * 6 + 2x * 6) = 69 21 + 3x + (18 + 12x) = 69 Reorder the terms: 21 + 18 + 3x + 12x = 69 Combine like terms: 21 + 18 = 39 39 + 3x + 12x = 69 Combine like terms: 3x + 12x = 15x 39 + 15x = 69 Solving 39 + 15x = 69 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 15x = 69 + -39 Combine like terms: 39 + -39 = 0 0 + 15x = 69 + -39 15x = 69 + -39 Combine like terms: 69 + -39 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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