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Simplifying (6 + -1x)(3 + -1x) + -1x(x + 2) = 0 Multiply (6 + -1x) * (3 + -1x) (6(3 + -1x) + -1x * (3 + -1x)) + -1x(x + 2) = 0 ((3 * 6 + -1x * 6) + -1x * (3 + -1x)) + -1x(x + 2) = 0 ((18 + -6x) + -1x * (3 + -1x)) + -1x(x + 2) = 0 (18 + -6x + (3 * -1x + -1x * -1x)) + -1x(x + 2) = 0 (18 + -6x + (-3x + 1x2)) + -1x(x + 2) = 0 Combine like terms: -6x + -3x = -9x (18 + -9x + 1x2) + -1x(x + 2) = 0 Reorder the terms: 18 + -9x + 1x2 + -1x(2 + x) = 0 18 + -9x + 1x2 + (2 * -1x + x * -1x) = 0 18 + -9x + 1x2 + (-2x + -1x2) = 0 Reorder the terms: 18 + -9x + -2x + 1x2 + -1x2 = 0 Combine like terms: -9x + -2x = -11x 18 + -11x + 1x2 + -1x2 = 0 Combine like terms: 1x2 + -1x2 = 0 18 + -11x + 0 = 0 18 + -11x = 0 Solving 18 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -11x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = 0 + -18 -11x = 0 + -18 Combine like terms: 0 + -18 = -18 -11x = -18 Divide each side by '-11'. x = 1.636363636 Simplifying x = 1.636363636
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