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Simplifying 9(3x + 1) = 2x + -8x Reorder the terms: 9(1 + 3x) = 2x + -8x (1 * 9 + 3x * 9) = 2x + -8x (9 + 27x) = 2x + -8x Combine like terms: 2x + -8x = -6x 9 + 27x = -6x Solving 9 + 27x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + 27x + 6x = -6x + 6x Combine like terms: 27x + 6x = 33x 9 + 33x = -6x + 6x Combine like terms: -6x + 6x = 0 9 + 33x = 0 Add '-9' to each side of the equation. 9 + -9 + 33x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 33x = 0 + -9 33x = 0 + -9 Combine like terms: 0 + -9 = -9 33x = -9 Divide each side by '33'. x = -0.2727272727 Simplifying x = -0.2727272727
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