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Simplifying 9(x + 9) = 8x + 83 Reorder the terms: 9(9 + x) = 8x + 83 (9 * 9 + x * 9) = 8x + 83 (81 + 9x) = 8x + 83 Reorder the terms: 81 + 9x = 83 + 8x Solving 81 + 9x = 83 + 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 = 83 + 8x + -8x Combine like terms: 9x + -8x = 1x 81 + 1x = 83 + 8x + -8x Combine like terms: 8x + -8x = 0 81 + 1x = 83 + 0 81 + 1x = 83 Add '-81' to each side of the equation. 81 + -81 + 1x = 83 + -81 Combine like terms: 81 + -81 = 0 0 + 1x = 83 + -81 1x = 83 + -81 Combine like terms: 83 + -81 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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