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Simplifying -8(x + 9) + 81 = 17 + -9x Reorder the terms: -8(9 + x) + 81 = 17 + -9x (9 * -8 + x * -8) + 81 = 17 + -9x (-72 + -8x) + 81 = 17 + -9x Reorder the terms: -72 + 81 + -8x = 17 + -9x Combine like terms: -72 + 81 = 9 9 + -8x = 17 + -9x Solving 9 + -8x = 17 + -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. 9 + -8x + 9x = 17 + -9x + 9x Combine like terms: -8x + 9x = 1x 9 + 1x = 17 + -9x + 9x Combine like terms: -9x + 9x = 0 9 + 1x = 17 + 0 9 + 1x = 17 Add '-9' to each side of the equation. 9 + -9 + 1x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 17 + -9 1x = 17 + -9 Combine like terms: 17 + -9 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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