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Simplifying 6(x + 3) + 9 = 3(x + -2) + 6 Reorder the terms: 6(3 + x) + 9 = 3(x + -2) + 6 (3 * 6 + x * 6) + 9 = 3(x + -2) + 6 (18 + 6x) + 9 = 3(x + -2) + 6 Reorder the terms: 18 + 9 + 6x = 3(x + -2) + 6 Combine like terms: 18 + 9 = 27 27 + 6x = 3(x + -2) + 6 Reorder the terms: 27 + 6x = 3(-2 + x) + 6 27 + 6x = (-2 * 3 + x * 3) + 6 27 + 6x = (-6 + 3x) + 6 Reorder the terms: 27 + 6x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 27 + 6x = 0 + 3x 27 + 6x = 3x Solving 27 + 6x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 27 + 6x + -3x = 3x + -3x Combine like terms: 6x + -3x = 3x 27 + 3x = 3x + -3x Combine like terms: 3x + -3x = 0 27 + 3x = 0 Add '-27' to each side of the equation. 27 + -27 + 3x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 0 + -27 3x = 0 + -27 Combine like terms: 0 + -27 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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