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Simplifying 9(x + 3) = 3(x + 27) Reorder the terms: 9(3 + x) = 3(x + 27) (3 * 9 + x * 9) = 3(x + 27) (27 + 9x) = 3(x + 27) Reorder the terms: 27 + 9x = 3(27 + x) 27 + 9x = (27 * 3 + x * 3) 27 + 9x = (81 + 3x) Solving 27 + 9x = 81 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 27 + 9x + -3x = 81 + 3x + -3x Combine like terms: 9x + -3x = 6x 27 + 6x = 81 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 6x = 81 + 0 27 + 6x = 81 Add '-27' to each side of the equation. 27 + -27 + 6x = 81 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = 81 + -27 6x = 81 + -27 Combine like terms: 81 + -27 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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