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Simplifying 9(3 + 2x) = 2(10 + -8x) (3 * 9 + 2x * 9) = 2(10 + -8x) (27 + 18x) = 2(10 + -8x) 27 + 18x = (10 * 2 + -8x * 2) 27 + 18x = (20 + -16x) Solving 27 + 18x = 20 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 27 + 18x + 16x = 20 + -16x + 16x Combine like terms: 18x + 16x = 34x 27 + 34x = 20 + -16x + 16x Combine like terms: -16x + 16x = 0 27 + 34x = 20 + 0 27 + 34x = 20 Add '-27' to each side of the equation. 27 + -27 + 34x = 20 + -27 Combine like terms: 27 + -27 = 0 0 + 34x = 20 + -27 34x = 20 + -27 Combine like terms: 20 + -27 = -7 34x = -7 Divide each side by '34'. x = -0.2058823529 Simplifying x = -0.2058823529
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