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Simplifying 9(5x + 6) = 9(9x + 3) Reorder the terms: 9(6 + 5x) = 9(9x + 3) (6 * 9 + 5x * 9) = 9(9x + 3) (54 + 45x) = 9(9x + 3) Reorder the terms: 54 + 45x = 9(3 + 9x) 54 + 45x = (3 * 9 + 9x * 9) 54 + 45x = (27 + 81x) Solving 54 + 45x = 27 + 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. 54 + 45x + -81x = 27 + 81x + -81x Combine like terms: 45x + -81x = -36x 54 + -36x = 27 + 81x + -81x Combine like terms: 81x + -81x = 0 54 + -36x = 27 + 0 54 + -36x = 27 Add '-54' to each side of the equation. 54 + -54 + -36x = 27 + -54 Combine like terms: 54 + -54 = 0 0 + -36x = 27 + -54 -36x = 27 + -54 Combine like terms: 27 + -54 = -27 -36x = -27 Divide each side by '-36'. x = 0.75 Simplifying x = 0.75
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