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Simplifying -2(13x + -6) + 9(3x + -2) + 4 = 6 + -5 Reorder the terms: -2(-6 + 13x) + 9(3x + -2) + 4 = 6 + -5 (-6 * -2 + 13x * -2) + 9(3x + -2) + 4 = 6 + -5 (12 + -26x) + 9(3x + -2) + 4 = 6 + -5 Reorder the terms: 12 + -26x + 9(-2 + 3x) + 4 = 6 + -5 12 + -26x + (-2 * 9 + 3x * 9) + 4 = 6 + -5 12 + -26x + (-18 + 27x) + 4 = 6 + -5 Reorder the terms: 12 + -18 + 4 + -26x + 27x = 6 + -5 Combine like terms: 12 + -18 = -6 -6 + 4 + -26x + 27x = 6 + -5 Combine like terms: -6 + 4 = -2 -2 + -26x + 27x = 6 + -5 Combine like terms: -26x + 27x = 1x -2 + 1x = 6 + -5 Combine like terms: 6 + -5 = 1 -2 + 1x = 1 Solving -2 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 1 + 2 1x = 1 + 2 Combine like terms: 1 + 2 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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