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