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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 = 47 34x = 47 Divide each side by '34'. x = 1.382352941 Simplifying x = 1.382352941
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