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Simplifying 27(4x + -1) = 9(3x + 8) Reorder the terms: 27(-1 + 4x) = 9(3x + 8) (-1 * 27 + 4x * 27) = 9(3x + 8) (-27 + 108x) = 9(3x + 8) Reorder the terms: -27 + 108x = 9(8 + 3x) -27 + 108x = (8 * 9 + 3x * 9) -27 + 108x = (72 + 27x) Solving -27 + 108x = 72 + 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 + 108x + -27x = 72 + 27x + -27x Combine like terms: 108x + -27x = 81x -27 + 81x = 72 + 27x + -27x Combine like terms: 27x + -27x = 0 -27 + 81x = 72 + 0 -27 + 81x = 72 Add '27' to each side of the equation. -27 + 27 + 81x = 72 + 27 Combine like terms: -27 + 27 = 0 0 + 81x = 72 + 27 81x = 72 + 27 Combine like terms: 72 + 27 = 99 81x = 99 Divide each side by '81'. x = 1.222222222 Simplifying x = 1.222222222
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