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Simplifying 9(2 + 3x) = 5(5x + 6) (2 * 9 + 3x * 9) = 5(5x + 6) (18 + 27x) = 5(5x + 6) Reorder the terms: 18 + 27x = 5(6 + 5x) 18 + 27x = (6 * 5 + 5x * 5) 18 + 27x = (30 + 25x) Solving 18 + 27x = 30 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 18 + 27x + -25x = 30 + 25x + -25x Combine like terms: 27x + -25x = 2x 18 + 2x = 30 + 25x + -25x Combine like terms: 25x + -25x = 0 18 + 2x = 30 + 0 18 + 2x = 30 Add '-18' to each side of the equation. 18 + -18 + 2x = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 30 + -18 2x = 30 + -18 Combine like terms: 30 + -18 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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