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Simplifying 2x + 3(3x + 5) = 12 + 2(3x + 9) Reorder the terms: 2x + 3(5 + 3x) = 12 + 2(3x + 9) 2x + (5 * 3 + 3x * 3) = 12 + 2(3x + 9) 2x + (15 + 9x) = 12 + 2(3x + 9) Reorder the terms: 15 + 2x + 9x = 12 + 2(3x + 9) Combine like terms: 2x + 9x = 11x 15 + 11x = 12 + 2(3x + 9) Reorder the terms: 15 + 11x = 12 + 2(9 + 3x) 15 + 11x = 12 + (9 * 2 + 3x * 2) 15 + 11x = 12 + (18 + 6x) Combine like terms: 12 + 18 = 30 15 + 11x = 30 + 6x Solving 15 + 11x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 11x + -6x = 30 + 6x + -6x Combine like terms: 11x + -6x = 5x 15 + 5x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 5x = 30 + 0 15 + 5x = 30 Add '-15' to each side of the equation. 15 + -15 + 5x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 30 + -15 5x = 30 + -15 Combine like terms: 30 + -15 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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