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Simplifying 9(2x + 9) = 9(7x + 6) Reorder the terms: 9(9 + 2x) = 9(7x + 6) (9 * 9 + 2x * 9) = 9(7x + 6) (81 + 18x) = 9(7x + 6) Reorder the terms: 81 + 18x = 9(6 + 7x) 81 + 18x = (6 * 9 + 7x * 9) 81 + 18x = (54 + 63x) Solving 81 + 18x = 54 + 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 + 18x + -63x = 54 + 63x + -63x Combine like terms: 18x + -63x = -45x 81 + -45x = 54 + 63x + -63x Combine like terms: 63x + -63x = 0 81 + -45x = 54 + 0 81 + -45x = 54 Add '-81' to each side of the equation. 81 + -81 + -45x = 54 + -81 Combine like terms: 81 + -81 = 0 0 + -45x = 54 + -81 -45x = 54 + -81 Combine like terms: 54 + -81 = -27 -45x = -27 Divide each side by '-45'. x = 0.6 Simplifying x = 0.6
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