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Simplifying (3x + 9) * 9 = 8(2x + 2 + 8) Reorder the terms: (9 + 3x) * 9 = 8(2x + 2 + 8) Reorder the terms for easier multiplication: 9(9 + 3x) = 8(2x + 2 + 8) (9 * 9 + 3x * 9) = 8(2x + 2 + 8) (81 + 27x) = 8(2x + 2 + 8) Reorder the terms: 81 + 27x = 8(2 + 8 + 2x) Combine like terms: 2 + 8 = 10 81 + 27x = 8(10 + 2x) 81 + 27x = (10 * 8 + 2x * 8) 81 + 27x = (80 + 16x) Solving 81 + 27x = 80 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 81 + 27x + -16x = 80 + 16x + -16x Combine like terms: 27x + -16x = 11x 81 + 11x = 80 + 16x + -16x Combine like terms: 16x + -16x = 0 81 + 11x = 80 + 0 81 + 11x = 80 Add '-81' to each side of the equation. 81 + -81 + 11x = 80 + -81 Combine like terms: 81 + -81 = 0 0 + 11x = 80 + -81 11x = 80 + -81 Combine like terms: 80 + -81 = -1 11x = -1 Divide each side by '11'. x = -0.09090909091 Simplifying x = -0.09090909091
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