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Simplifying -2(13x + -7) + 9(3x + -6) + -9 = 5 + -7 Reorder the terms: -2(-7 + 13x) + 9(3x + -6) + -9 = 5 + -7 (-7 * -2 + 13x * -2) + 9(3x + -6) + -9 = 5 + -7 (14 + -26x) + 9(3x + -6) + -9 = 5 + -7 Reorder the terms: 14 + -26x + 9(-6 + 3x) + -9 = 5 + -7 14 + -26x + (-6 * 9 + 3x * 9) + -9 = 5 + -7 14 + -26x + (-54 + 27x) + -9 = 5 + -7 Reorder the terms: 14 + -54 + -9 + -26x + 27x = 5 + -7 Combine like terms: 14 + -54 = -40 -40 + -9 + -26x + 27x = 5 + -7 Combine like terms: -40 + -9 = -49 -49 + -26x + 27x = 5 + -7 Combine like terms: -26x + 27x = 1x -49 + 1x = 5 + -7 Combine like terms: 5 + -7 = -2 -49 + 1x = -2 Solving -49 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 1x = -2 + 49 Combine like terms: -49 + 49 = 0 0 + 1x = -2 + 49 1x = -2 + 49 Combine like terms: -2 + 49 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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