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Simplifying x2 + 81 = x2 + x + 1 Reorder the terms: 81 + x2 = x2 + x + 1 Reorder the terms: 81 + x2 = 1 + x + x2 Add '-1x2' to each side of the equation. 81 + x2 + -1x2 = 1 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 81 + 0 = 1 + x + x2 + -1x2 81 = 1 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 81 = 1 + x + 0 81 = 1 + x Solving 81 = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 81 + -1x = 1 + x + -1x Combine like terms: x + -1x = 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 = -80 -1x = -80 Divide each side by '-1'. x = 80 Simplifying x = 80
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