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Simplifying 8(x + 13) = 9(-2x + -1) Reorder the terms: 8(13 + x) = 9(-2x + -1) (13 * 8 + x * 8) = 9(-2x + -1) (104 + 8x) = 9(-2x + -1) Reorder the terms: 104 + 8x = 9(-1 + -2x) 104 + 8x = (-1 * 9 + -2x * 9) 104 + 8x = (-9 + -18x) Solving 104 + 8x = -9 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 104 + 8x + 18x = -9 + -18x + 18x Combine like terms: 8x + 18x = 26x 104 + 26x = -9 + -18x + 18x Combine like terms: -18x + 18x = 0 104 + 26x = -9 + 0 104 + 26x = -9 Add '-104' to each side of the equation. 104 + -104 + 26x = -9 + -104 Combine like terms: 104 + -104 = 0 0 + 26x = -9 + -104 26x = -9 + -104 Combine like terms: -9 + -104 = -113 26x = -113 Divide each side by '26'. x = -4.346153846 Simplifying x = -4.346153846
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