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Simplifying 9(4x + 9) = 9(7x + 2) Reorder the terms: 9(9 + 4x) = 9(7x + 2) (9 * 9 + 4x * 9) = 9(7x + 2) (81 + 36x) = 9(7x + 2) Reorder the terms: 81 + 36x = 9(2 + 7x) 81 + 36x = (2 * 9 + 7x * 9) 81 + 36x = (18 + 63x) Solving 81 + 36x = 18 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. 81 + 36x + -63x = 18 + 63x + -63x Combine like terms: 36x + -63x = -27x 81 + -27x = 18 + 63x + -63x Combine like terms: 63x + -63x = 0 81 + -27x = 18 + 0 81 + -27x = 18 Add '-81' to each side of the equation. 81 + -81 + -27x = 18 + -81 Combine like terms: 81 + -81 = 0 0 + -27x = 18 + -81 -27x = 18 + -81 Combine like terms: 18 + -81 = -63 -27x = -63 Divide each side by '-27'. x = 2.333333333 Simplifying x = 2.333333333
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