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Simplifying 3x + 9(x + 9) = 3(6x + 3) Reorder the terms: 3x + 9(9 + x) = 3(6x + 3) 3x + (9 * 9 + x * 9) = 3(6x + 3) 3x + (81 + 9x) = 3(6x + 3) Reorder the terms: 81 + 3x + 9x = 3(6x + 3) Combine like terms: 3x + 9x = 12x 81 + 12x = 3(6x + 3) Reorder the terms: 81 + 12x = 3(3 + 6x) 81 + 12x = (3 * 3 + 6x * 3) 81 + 12x = (9 + 18x) Solving 81 + 12x = 9 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 81 + 12x + -18x = 9 + 18x + -18x Combine like terms: 12x + -18x = -6x 81 + -6x = 9 + 18x + -18x Combine like terms: 18x + -18x = 0 81 + -6x = 9 + 0 81 + -6x = 9 Add '-81' to each side of the equation. 81 + -81 + -6x = 9 + -81 Combine like terms: 81 + -81 = 0 0 + -6x = 9 + -81 -6x = 9 + -81 Combine like terms: 9 + -81 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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