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Simplifying 2(3x2 + -1x + 5) + -1(7x2 + -3x + 1 + -9) + (x2 + -9) = 0 Reorder the terms: 2(5 + -1x + 3x2) + -1(7x2 + -3x + 1 + -9) + (x2 + -9) = 0 (5 * 2 + -1x * 2 + 3x2 * 2) + -1(7x2 + -3x + 1 + -9) + (x2 + -9) = 0 (10 + -2x + 6x2) + -1(7x2 + -3x + 1 + -9) + (x2 + -9) = 0 Reorder the terms: 10 + -2x + 6x2 + -1(1 + -9 + -3x + 7x2) + (x2 + -9) = 0 Combine like terms: 1 + -9 = -8 10 + -2x + 6x2 + -1(-8 + -3x + 7x2) + (x2 + -9) = 0 10 + -2x + 6x2 + (-8 * -1 + -3x * -1 + 7x2 * -1) + (x2 + -9) = 0 10 + -2x + 6x2 + (8 + 3x + -7x2) + (x2 + -9) = 0 Reorder the terms: 10 + -2x + 6x2 + 8 + 3x + -7x2 + (-9 + x2) = 0 Remove parenthesis around (-9 + x2) 10 + -2x + 6x2 + 8 + 3x + -7x2 + -9 + x2 = 0 Reorder the terms: 10 + 8 + -9 + -2x + 3x + 6x2 + -7x2 + x2 = 0 Combine like terms: 10 + 8 = 18 18 + -9 + -2x + 3x + 6x2 + -7x2 + x2 = 0 Combine like terms: 18 + -9 = 9 9 + -2x + 3x + 6x2 + -7x2 + x2 = 0 Combine like terms: -2x + 3x = 1x 9 + 1x + 6x2 + -7x2 + x2 = 0 Combine like terms: 6x2 + -7x2 = -1x2 9 + 1x + -1x2 + x2 = 0 Combine like terms: -1x2 + x2 = 0 9 + 1x + 0 = 0 9 + 1x = 0 Solving 9 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 0 + -9 1x = 0 + -9 Combine like terms: 0 + -9 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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