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Simplifying 8(1 + -1x) = 9(1 + 2x) + 8 (1 * 8 + -1x * 8) = 9(1 + 2x) + 8 (8 + -8x) = 9(1 + 2x) + 8 8 + -8x = (1 * 9 + 2x * 9) + 8 8 + -8x = (9 + 18x) + 8 Reorder the terms: 8 + -8x = 9 + 8 + 18x Combine like terms: 9 + 8 = 17 8 + -8x = 17 + 18x Solving 8 + -8x = 17 + 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. 8 + -8x + -18x = 17 + 18x + -18x Combine like terms: -8x + -18x = -26x 8 + -26x = 17 + 18x + -18x Combine like terms: 18x + -18x = 0 8 + -26x = 17 + 0 8 + -26x = 17 Add '-8' to each side of the equation. 8 + -8 + -26x = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -26x = 17 + -8 -26x = 17 + -8 Combine like terms: 17 + -8 = 9 -26x = 9 Divide each side by '-26'. x = -0.3461538462 Simplifying x = -0.3461538462
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