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Simplifying x2 + -2x + 1 = 81 + 18x + x2 Reorder the terms: 1 + -2x + x2 = 81 + 18x + x2 Add '-1x2' to each side of the equation. 1 + -2x + x2 + -1x2 = 81 + 18x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + -2x + 0 = 81 + 18x + x2 + -1x2 1 + -2x = 81 + 18x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1 + -2x = 81 + 18x + 0 1 + -2x = 81 + 18x Solving 1 + -2x = 81 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 1 + -2x + -18x = 81 + 18x + -18x Combine like terms: -2x + -18x = -20x 1 + -20x = 81 + 18x + -18x Combine like terms: 18x + -18x = 0 1 + -20x = 81 + 0 1 + -20x = 81 Add '-1' to each side of the equation. 1 + -1 + -20x = 81 + -1 Combine like terms: 1 + -1 = 0 0 + -20x = 81 + -1 -20x = 81 + -1 Combine like terms: 81 + -1 = 80 -20x = 80 Divide each side by '-20'. x = -4 Simplifying x = -4
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