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Simplifying -2(13x + -6) + 9(3x + -1) + -8 = 2 + -5 Reorder the terms: -2(-6 + 13x) + 9(3x + -1) + -8 = 2 + -5 (-6 * -2 + 13x * -2) + 9(3x + -1) + -8 = 2 + -5 (12 + -26x) + 9(3x + -1) + -8 = 2 + -5 Reorder the terms: 12 + -26x + 9(-1 + 3x) + -8 = 2 + -5 12 + -26x + (-1 * 9 + 3x * 9) + -8 = 2 + -5 12 + -26x + (-9 + 27x) + -8 = 2 + -5 Reorder the terms: 12 + -9 + -8 + -26x + 27x = 2 + -5 Combine like terms: 12 + -9 = 3 3 + -8 + -26x + 27x = 2 + -5 Combine like terms: 3 + -8 = -5 -5 + -26x + 27x = 2 + -5 Combine like terms: -26x + 27x = 1x -5 + 1x = 2 + -5 Combine like terms: 2 + -5 = -3 -5 + 1x = -3 Solving -5 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -3 + 5 1x = -3 + 5 Combine like terms: -3 + 5 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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