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Simplifying 9(4x + 6) + 9(9 + -1x) = 45x + 135 Reorder the terms: 9(6 + 4x) + 9(9 + -1x) = 45x + 135 (6 * 9 + 4x * 9) + 9(9 + -1x) = 45x + 135 (54 + 36x) + 9(9 + -1x) = 45x + 135 54 + 36x + (9 * 9 + -1x * 9) = 45x + 135 54 + 36x + (81 + -9x) = 45x + 135 Reorder the terms: 54 + 81 + 36x + -9x = 45x + 135 Combine like terms: 54 + 81 = 135 135 + 36x + -9x = 45x + 135 Combine like terms: 36x + -9x = 27x 135 + 27x = 45x + 135 Reorder the terms: 135 + 27x = 135 + 45x Add '-135' to each side of the equation. 135 + -135 + 27x = 135 + -135 + 45x Combine like terms: 135 + -135 = 0 0 + 27x = 135 + -135 + 45x 27x = 135 + -135 + 45x Combine like terms: 135 + -135 = 0 27x = 0 + 45x 27x = 45x Solving 27x = 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 27x + -45x = 45x + -45x Combine like terms: 27x + -45x = -18x -18x = 45x + -45x Combine like terms: 45x + -45x = 0 -18x = 0 Divide each side by '-18'. x = 0 Simplifying x = 0
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