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Simplifying (11x2 + 7x + 11) + -1(11x2 + 20x + 12) = 0 Reorder the terms: (11 + 7x + 11x2) + -1(11x2 + 20x + 12) = 0 Remove parenthesis around (11 + 7x + 11x2) 11 + 7x + 11x2 + -1(11x2 + 20x + 12) = 0 Reorder the terms: 11 + 7x + 11x2 + -1(12 + 20x + 11x2) = 0 11 + 7x + 11x2 + (12 * -1 + 20x * -1 + 11x2 * -1) = 0 11 + 7x + 11x2 + (-12 + -20x + -11x2) = 0 Reorder the terms: 11 + -12 + 7x + -20x + 11x2 + -11x2 = 0 Combine like terms: 11 + -12 = -1 -1 + 7x + -20x + 11x2 + -11x2 = 0 Combine like terms: 7x + -20x = -13x -1 + -13x + 11x2 + -11x2 = 0 Combine like terms: 11x2 + -11x2 = 0 -1 + -13x + 0 = 0 -1 + -13x = 0 Solving -1 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -13x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -13x = 0 + 1 -13x = 0 + 1 Combine like terms: 0 + 1 = 1 -13x = 1 Divide each side by '-13'. x = -0.07692307692 Simplifying x = -0.07692307692
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