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Simplifying 9(x + -9) = 1 + 8x Reorder the terms: 9(-9 + x) = 1 + 8x (-9 * 9 + x * 9) = 1 + 8x (-81 + 9x) = 1 + 8x Solving -81 + 9x = 1 + 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. -81 + 9x + -8x = 1 + 8x + -8x Combine like terms: 9x + -8x = 1x -81 + 1x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -81 + 1x = 1 + 0 -81 + 1x = 1 Add '81' to each side of the equation. -81 + 81 + 1x = 1 + 81 Combine like terms: -81 + 81 = 0 0 + 1x = 1 + 81 1x = 1 + 81 Combine like terms: 1 + 81 = 82 1x = 82 Divide each side by '1'. x = 82 Simplifying x = 82
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