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Simplifying -2(13x + -1) + 9(3x + -4) + -9 = 5 + -2 Reorder the terms: -2(-1 + 13x) + 9(3x + -4) + -9 = 5 + -2 (-1 * -2 + 13x * -2) + 9(3x + -4) + -9 = 5 + -2 (2 + -26x) + 9(3x + -4) + -9 = 5 + -2 Reorder the terms: 2 + -26x + 9(-4 + 3x) + -9 = 5 + -2 2 + -26x + (-4 * 9 + 3x * 9) + -9 = 5 + -2 2 + -26x + (-36 + 27x) + -9 = 5 + -2 Reorder the terms: 2 + -36 + -9 + -26x + 27x = 5 + -2 Combine like terms: 2 + -36 = -34 -34 + -9 + -26x + 27x = 5 + -2 Combine like terms: -34 + -9 = -43 -43 + -26x + 27x = 5 + -2 Combine like terms: -26x + 27x = 1x -43 + 1x = 5 + -2 Combine like terms: 5 + -2 = 3 -43 + 1x = 3 Solving -43 + 1x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 1x = 3 + 43 Combine like terms: -43 + 43 = 0 0 + 1x = 3 + 43 1x = 3 + 43 Combine like terms: 3 + 43 = 46 1x = 46 Divide each side by '1'. x = 46 Simplifying x = 46
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