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Simplifying 3(15x + 9) = 9(3x + 19) Reorder the terms: 3(9 + 15x) = 9(3x + 19) (9 * 3 + 15x * 3) = 9(3x + 19) (27 + 45x) = 9(3x + 19) Reorder the terms: 27 + 45x = 9(19 + 3x) 27 + 45x = (19 * 9 + 3x * 9) 27 + 45x = (171 + 27x) Solving 27 + 45x = 171 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 27 + 45x + -27x = 171 + 27x + -27x Combine like terms: 45x + -27x = 18x 27 + 18x = 171 + 27x + -27x Combine like terms: 27x + -27x = 0 27 + 18x = 171 + 0 27 + 18x = 171 Add '-27' to each side of the equation. 27 + -27 + 18x = 171 + -27 Combine like terms: 27 + -27 = 0 0 + 18x = 171 + -27 18x = 171 + -27 Combine like terms: 171 + -27 = 144 18x = 144 Divide each side by '18'. x = 8 Simplifying x = 8
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