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Simplifying (x + 3)(x + 3)(x + 3) + -8 = x(x + 6)(x + 3) + -6 Reorder the terms: (3 + x)(x + 3)(x + 3) + -8 = x(x + 6)(x + 3) + -6 Reorder the terms: (3 + x)(3 + x)(x + 3) + -8 = x(x + 6)(x + 3) + -6 Reorder the terms: (3 + x)(3 + x)(3 + x) + -8 = x(x + 6)(x + 3) + -6 Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x))(3 + x) + -8 = x(x + 6)(x + 3) + -6 ((3 * 3 + x * 3) + x(3 + x))(3 + x) + -8 = x(x + 6)(x + 3) + -6 ((9 + 3x) + x(3 + x))(3 + x) + -8 = x(x + 6)(x + 3) + -6 (9 + 3x + (3 * x + x * x))(3 + x) + -8 = x(x + 6)(x + 3) + -6 (9 + 3x + (3x + x2))(3 + x) + -8 = x(x + 6)(x + 3) + -6 Combine like terms: 3x + 3x = 6x (9 + 6x + x2)(3 + x) + -8 = x(x + 6)(x + 3) + -6 Multiply (9 + 6x + x2) * (3 + x) (9(3 + x) + 6x * (3 + x) + x2(3 + x)) + -8 = x(x + 6)(x + 3) + -6 ((3 * 9 + x * 9) + 6x * (3 + x) + x2(3 + x)) + -8 = x(x + 6)(x + 3) + -6 ((27 + 9x) + 6x * (3 + x) + x2(3 + x)) + -8 = x(x + 6)(x + 3) + -6 (27 + 9x + (3 * 6x + x * 6x) + x2(3 + x)) + -8 = x(x + 6)(x + 3) + -6 (27 + 9x + (18x + 6x2) + x2(3 + x)) + -8 = x(x + 6)(x + 3) + -6 (27 + 9x + 18x + 6x2 + (3 * x2 + x * x2)) + -8 = x(x + 6)(x + 3) + -6 (27 + 9x + 18x + 6x2 + (3x2 + x3)) + -8 = x(x + 6)(x + 3) + -6 Combine like terms: 9x + 18x = 27x (27 + 27x + 6x2 + 3x2 + x3) + -8 = x(x + 6)(x + 3) + -6 Combine like terms: 6x2 + 3x2 = 9x2 (27 + 27x + 9x2 + x3) + -8 = x(x + 6)(x + 3) + -6 Reorder the terms: 27 + -8 + 27x + 9x2 + x3 = x(x + 6)(x + 3) + -6 Combine like terms: 27 + -8 = 19 19 + 27x + 9x2 + x3 = x(x + 6)(x + 3) + -6 Reorder the terms: 19 + 27x + 9x2 + x3 = x(6 + x)(x + 3) + -6 Reorder the terms: 19 + 27x + 9x2 + x3 = x(6 + x)(3 + x) + -6 Multiply (6 + x) * (3 + x) 19 + 27x + 9x2 + x3 = x(6(3 + x) + x(3 + x)) + -6 19 + 27x + 9x2 + x3 = x((3 * 6 + x * 6) + x(3 + x)) + -6 19 + 27x + 9x2 + x3 = x((18 + 6x) + x(3 + x)) + -6 19 + 27x + 9x2 + x3 = x(18 + 6x + (3 * x + x * x)) + -6 19 + 27x + 9x2 + x3 = x(18 + 6x + (3x + x2)) + -6 Combine like terms: 6x + 3x = 9x 19 + 27x + 9x2 + x3 = x(18 + 9x + x2) + -6 19 + 27x + 9x2 + x3 = (18 * x + 9x * x + x2 * x) + -6 19 + 27x + 9x2 + x3 = (18x + 9x2 + x3) + -6 Reorder the terms: 19 + 27x + 9x2 + x3 = -6 + 18x + 9x2 + x3 Add '-9x2' to each side of the equation. 19 + 27x + 9x2 + -9x2 + x3 = -6 + 18x + 9x2 + -9x2 + x3 Combine like terms: 9x2 + -9x2 = 0 19 + 27x + 0 + x3 = -6 + 18x + 9x2 + -9x2 + x3 19 + 27x + x3 = -6 + 18x + 9x2 + -9x2 + x3 Combine like terms: 9x2 + -9x2 = 0 19 + 27x + x3 = -6 + 18x + 0 + x3 19 + 27x + x3 = -6 + 18x + x3 Add '-1x3' to each side of the equation. 19 + 27x + x3 + -1x3 = -6 + 18x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 19 + 27x + 0 = -6 + 18x + x3 + -1x3 19 + 27x = -6 + 18x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 19 + 27x = -6 + 18x + 0 19 + 27x = -6 + 18x Solving 19 + 27x = -6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 19 + 27x + -18x = -6 + 18x + -18x Combine like terms: 27x + -18x = 9x 19 + 9x = -6 + 18x + -18x Combine like terms: 18x + -18x = 0 19 + 9x = -6 + 0 19 + 9x = -6 Add '-19' to each side of the equation. 19 + -19 + 9x = -6 + -19 Combine like terms: 19 + -19 = 0 0 + 9x = -6 + -19 9x = -6 + -19 Combine like terms: -6 + -19 = -25 9x = -25 Divide each side by '9'. x = -2.777777778 Simplifying x = -2.777777778
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