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Simplifying x2 + -8x + 16 + x2 + 9x + 9x + 81 + -2x2 = 0 Reorder the terms: 16 + 81 + -8x + 9x + 9x + x2 + x2 + -2x2 = 0 Combine like terms: 16 + 81 = 97 97 + -8x + 9x + 9x + x2 + x2 + -2x2 = 0 Combine like terms: -8x + 9x = 1x 97 + 1x + 9x + x2 + x2 + -2x2 = 0 Combine like terms: 1x + 9x = 10x 97 + 10x + x2 + x2 + -2x2 = 0 Combine like terms: x2 + x2 = 2x2 97 + 10x + 2x2 + -2x2 = 0 Combine like terms: 2x2 + -2x2 = 0 97 + 10x + 0 = 0 97 + 10x = 0 Solving 97 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-97' to each side of the equation. 97 + -97 + 10x = 0 + -97 Combine like terms: 97 + -97 = 0 0 + 10x = 0 + -97 10x = 0 + -97 Combine like terms: 0 + -97 = -97 10x = -97 Divide each side by '10'. x = -9.7 Simplifying x = -9.7
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