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Simplifying 9(3x + 7) = 9(9x + 5) Reorder the terms: 9(7 + 3x) = 9(9x + 5) (7 * 9 + 3x * 9) = 9(9x + 5) (63 + 27x) = 9(9x + 5) Reorder the terms: 63 + 27x = 9(5 + 9x) 63 + 27x = (5 * 9 + 9x * 9) 63 + 27x = (45 + 81x) Solving 63 + 27x = 45 + 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. 63 + 27x + -81x = 45 + 81x + -81x Combine like terms: 27x + -81x = -54x 63 + -54x = 45 + 81x + -81x Combine like terms: 81x + -81x = 0 63 + -54x = 45 + 0 63 + -54x = 45 Add '-63' to each side of the equation. 63 + -63 + -54x = 45 + -63 Combine like terms: 63 + -63 = 0 0 + -54x = 45 + -63 -54x = 45 + -63 Combine like terms: 45 + -63 = -18 -54x = -18 Divide each side by '-54'. x = 0.3333333333 Simplifying x = 0.3333333333
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