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Simplifying -2(13x + -2) + 9(3x + -1) + -2 = 9 + -7 Reorder the terms: -2(-2 + 13x) + 9(3x + -1) + -2 = 9 + -7 (-2 * -2 + 13x * -2) + 9(3x + -1) + -2 = 9 + -7 (4 + -26x) + 9(3x + -1) + -2 = 9 + -7 Reorder the terms: 4 + -26x + 9(-1 + 3x) + -2 = 9 + -7 4 + -26x + (-1 * 9 + 3x * 9) + -2 = 9 + -7 4 + -26x + (-9 + 27x) + -2 = 9 + -7 Reorder the terms: 4 + -9 + -2 + -26x + 27x = 9 + -7 Combine like terms: 4 + -9 = -5 -5 + -2 + -26x + 27x = 9 + -7 Combine like terms: -5 + -2 = -7 -7 + -26x + 27x = 9 + -7 Combine like terms: -26x + 27x = 1x -7 + 1x = 9 + -7 Combine like terms: 9 + -7 = 2 -7 + 1x = 2 Solving -7 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 2 + 7 1x = 2 + 7 Combine like terms: 2 + 7 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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