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Simplifying x2 + x2 + 18x + 81 = 2x2 + -18x + 81 Reorder the terms: 81 + 18x + x2 + x2 = 2x2 + -18x + 81 Combine like terms: x2 + x2 = 2x2 81 + 18x + 2x2 = 2x2 + -18x + 81 Reorder the terms: 81 + 18x + 2x2 = 81 + -18x + 2x2 Add '-81' to each side of the equation. 81 + 18x + -81 + 2x2 = 81 + -18x + -81 + 2x2 Reorder the terms: 81 + -81 + 18x + 2x2 = 81 + -18x + -81 + 2x2 Combine like terms: 81 + -81 = 0 0 + 18x + 2x2 = 81 + -18x + -81 + 2x2 18x + 2x2 = 81 + -18x + -81 + 2x2 Reorder the terms: 18x + 2x2 = 81 + -81 + -18x + 2x2 Combine like terms: 81 + -81 = 0 18x + 2x2 = 0 + -18x + 2x2 18x + 2x2 = -18x + 2x2 Add '-2x2' to each side of the equation. 18x + 2x2 + -2x2 = -18x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 18x + 0 = -18x + 2x2 + -2x2 18x = -18x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 18x = -18x + 0 18x = -18x Solving 18x = -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. 18x + 18x = -18x + 18x Combine like terms: 18x + 18x = 36x 36x = -18x + 18x Combine like terms: -18x + 18x = 0 36x = 0 Divide each side by '36'. x = 0 Simplifying x = 0
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