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Simplifying -1x + -13(13 + 4x) = 3(5 + -9x) + 2 -1x + (13 * -13 + 4x * -13) = 3(5 + -9x) + 2 -1x + (-169 + -52x) = 3(5 + -9x) + 2 Reorder the terms: -169 + -1x + -52x = 3(5 + -9x) + 2 Combine like terms: -1x + -52x = -53x -169 + -53x = 3(5 + -9x) + 2 -169 + -53x = (5 * 3 + -9x * 3) + 2 -169 + -53x = (15 + -27x) + 2 Reorder the terms: -169 + -53x = 15 + 2 + -27x Combine like terms: 15 + 2 = 17 -169 + -53x = 17 + -27x Solving -169 + -53x = 17 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -169 + -53x + 27x = 17 + -27x + 27x Combine like terms: -53x + 27x = -26x -169 + -26x = 17 + -27x + 27x Combine like terms: -27x + 27x = 0 -169 + -26x = 17 + 0 -169 + -26x = 17 Add '169' to each side of the equation. -169 + 169 + -26x = 17 + 169 Combine like terms: -169 + 169 = 0 0 + -26x = 17 + 169 -26x = 17 + 169 Combine like terms: 17 + 169 = 186 -26x = 186 Divide each side by '-26'. x = -7.153846154 Simplifying x = -7.153846154
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