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Simplifying 3(x + 6) + 9 = 6(x + 3) + 12 Reorder the terms: 3(6 + x) + 9 = 6(x + 3) + 12 (6 * 3 + x * 3) + 9 = 6(x + 3) + 12 (18 + 3x) + 9 = 6(x + 3) + 12 Reorder the terms: 18 + 9 + 3x = 6(x + 3) + 12 Combine like terms: 18 + 9 = 27 27 + 3x = 6(x + 3) + 12 Reorder the terms: 27 + 3x = 6(3 + x) + 12 27 + 3x = (3 * 6 + x * 6) + 12 27 + 3x = (18 + 6x) + 12 Reorder the terms: 27 + 3x = 18 + 12 + 6x Combine like terms: 18 + 12 = 30 27 + 3x = 30 + 6x Solving 27 + 3x = 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. 27 + 3x + -6x = 30 + 6x + -6x Combine like terms: 3x + -6x = -3x 27 + -3x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -3x = 30 + 0 27 + -3x = 30 Add '-27' to each side of the equation. 27 + -27 + -3x = 30 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 30 + -27 -3x = 30 + -27 Combine like terms: 30 + -27 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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