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Simplifying 9(3x + 1) = 27(3x + -1) Reorder the terms: 9(1 + 3x) = 27(3x + -1) (1 * 9 + 3x * 9) = 27(3x + -1) (9 + 27x) = 27(3x + -1) Reorder the terms: 9 + 27x = 27(-1 + 3x) 9 + 27x = (-1 * 27 + 3x * 27) 9 + 27x = (-27 + 81x) Solving 9 + 27x = -27 + 81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81x' to each side of the equation. 9 + 27x + -81x = -27 + 81x + -81x Combine like terms: 27x + -81x = -54x 9 + -54x = -27 + 81x + -81x Combine like terms: 81x + -81x = 0 9 + -54x = -27 + 0 9 + -54x = -27 Add '-9' to each side of the equation. 9 + -9 + -54x = -27 + -9 Combine like terms: 9 + -9 = 0 0 + -54x = -27 + -9 -54x = -27 + -9 Combine like terms: -27 + -9 = -36 -54x = -36 Divide each side by '-54'. x = 0.6666666667 Simplifying x = 0.6666666667
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