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Simplifying 4(3x + 9) = 3(x + 27) Reorder the terms: 4(9 + 3x) = 3(x + 27) (9 * 4 + 3x * 4) = 3(x + 27) (36 + 12x) = 3(x + 27) Reorder the terms: 36 + 12x = 3(27 + x) 36 + 12x = (27 * 3 + x * 3) 36 + 12x = (81 + 3x) Solving 36 + 12x = 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. 36 + 12x + -3x = 81 + 3x + -3x Combine like terms: 12x + -3x = 9x 36 + 9x = 81 + 3x + -3x Combine like terms: 3x + -3x = 0 36 + 9x = 81 + 0 36 + 9x = 81 Add '-36' to each side of the equation. 36 + -36 + 9x = 81 + -36 Combine like terms: 36 + -36 = 0 0 + 9x = 81 + -36 9x = 81 + -36 Combine like terms: 81 + -36 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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