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Simplifying (9x2 + 2x + -9) + -1(9x2 + 12x + 2) = 0 Reorder the terms: (-9 + 2x + 9x2) + -1(9x2 + 12x + 2) = 0 Remove parenthesis around (-9 + 2x + 9x2) -9 + 2x + 9x2 + -1(9x2 + 12x + 2) = 0 Reorder the terms: -9 + 2x + 9x2 + -1(2 + 12x + 9x2) = 0 -9 + 2x + 9x2 + (2 * -1 + 12x * -1 + 9x2 * -1) = 0 -9 + 2x + 9x2 + (-2 + -12x + -9x2) = 0 Reorder the terms: -9 + -2 + 2x + -12x + 9x2 + -9x2 = 0 Combine like terms: -9 + -2 = -11 -11 + 2x + -12x + 9x2 + -9x2 = 0 Combine like terms: 2x + -12x = -10x -11 + -10x + 9x2 + -9x2 = 0 Combine like terms: 9x2 + -9x2 = 0 -11 + -10x + 0 = 0 -11 + -10x = 0 Solving -11 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -10x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -10x = 0 + 11 -10x = 0 + 11 Combine like terms: 0 + 11 = 11 -10x = 11 Divide each side by '-10'. x = -1.1 Simplifying x = -1.1
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