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Simplifying 9(2 + x) = 8(x + -9) (2 * 9 + x * 9) = 8(x + -9) (18 + 9x) = 8(x + -9) Reorder the terms: 18 + 9x = 8(-9 + x) 18 + 9x = (-9 * 8 + x * 8) 18 + 9x = (-72 + 8x) Solving 18 + 9x = -72 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 18 + 9x + -8x = -72 + 8x + -8x Combine like terms: 9x + -8x = 1x 18 + 1x = -72 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + 1x = -72 + 0 18 + 1x = -72 Add '-18' to each side of the equation. 18 + -18 + 1x = -72 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = -72 + -18 1x = -72 + -18 Combine like terms: -72 + -18 = -90 1x = -90 Divide each side by '1'. x = -90 Simplifying x = -90
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