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Simplifying 2(3x + 1) = 9(9x + 6) + 8 Reorder the terms: 2(1 + 3x) = 9(9x + 6) + 8 (1 * 2 + 3x * 2) = 9(9x + 6) + 8 (2 + 6x) = 9(9x + 6) + 8 Reorder the terms: 2 + 6x = 9(6 + 9x) + 8 2 + 6x = (6 * 9 + 9x * 9) + 8 2 + 6x = (54 + 81x) + 8 Reorder the terms: 2 + 6x = 54 + 8 + 81x Combine like terms: 54 + 8 = 62 2 + 6x = 62 + 81x Solving 2 + 6x = 62 + 81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81x' to each side of the equation. 2 + 6x + -81x = 62 + 81x + -81x Combine like terms: 6x + -81x = -75x 2 + -75x = 62 + 81x + -81x Combine like terms: 81x + -81x = 0 2 + -75x = 62 + 0 2 + -75x = 62 Add '-2' to each side of the equation. 2 + -2 + -75x = 62 + -2 Combine like terms: 2 + -2 = 0 0 + -75x = 62 + -2 -75x = 62 + -2 Combine like terms: 62 + -2 = 60 -75x = 60 Divide each side by '-75'. x = -0.8 Simplifying x = -0.8
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