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Simplifying (8 + -3x)(8 + -3x) + (5 + -4x)(5 + -4x) + -6 = (9 + -5x)(9 + -5x) + 20x + -4 Multiply (8 + -3x) * (8 + -3x) (8(8 + -3x) + -3x * (8 + -3x)) + (5 + -4x)(5 + -4x) + -6 = (9 + -5x)(9 + -5x) + 20x + -4 ((8 * 8 + -3x * 8) + -3x * (8 + -3x)) + (5 + -4x)(5 + -4x) + -6 = (9 + -5x)(9 + -5x) + 20x + -4 ((64 + -24x) + -3x * (8 + -3x)) + (5 + -4x)(5 + -4x) + -6 = (9 + -5x)(9 + -5x) + 20x + -4 (64 + -24x + (8 * -3x + -3x * -3x)) + (5 + -4x)(5 + -4x) + -6 = (9 + -5x)(9 + -5x) + 20x + -4 (64 + -24x + (-24x + 9x2)) + (5 + -4x)(5 + -4x) + -6 = (9 + -5x)(9 + -5x) + 20x + -4 Combine like terms: -24x + -24x = -48x (64 + -48x + 9x2) + (5 + -4x)(5 + -4x) + -6 = (9 + -5x)(9 + -5x) + 20x + -4 Multiply (5 + -4x) * (5 + -4x) 64 + -48x + 9x2 + (5(5 + -4x) + -4x * (5 + -4x)) + -6 = (9 + -5x)(9 + -5x) + 20x + -4 64 + -48x + 9x2 + ((5 * 5 + -4x * 5) + -4x * (5 + -4x)) + -6 = (9 + -5x)(9 + -5x) + 20x + -4 64 + -48x + 9x2 + ((25 + -20x) + -4x * (5 + -4x)) + -6 = (9 + -5x)(9 + -5x) + 20x + -4 64 + -48x + 9x2 + (25 + -20x + (5 * -4x + -4x * -4x)) + -6 = (9 + -5x)(9 + -5x) + 20x + -4 64 + -48x + 9x2 + (25 + -20x + (-20x + 16x2)) + -6 = (9 + -5x)(9 + -5x) + 20x + -4 Combine like terms: -20x + -20x = -40x 64 + -48x + 9x2 + (25 + -40x + 16x2) + -6 = (9 + -5x)(9 + -5x) + 20x + -4 Reorder the terms: 64 + 25 + -6 + -48x + -40x + 9x2 + 16x2 = (9 + -5x)(9 + -5x) + 20x + -4 Combine like terms: 64 + 25 = 89 89 + -6 + -48x + -40x + 9x2 + 16x2 = (9 + -5x)(9 + -5x) + 20x + -4 Combine like terms: 89 + -6 = 83 83 + -48x + -40x + 9x2 + 16x2 = (9 + -5x)(9 + -5x) + 20x + -4 Combine like terms: -48x + -40x = -88x 83 + -88x + 9x2 + 16x2 = (9 + -5x)(9 + -5x) + 20x + -4 Combine like terms: 9x2 + 16x2 = 25x2 83 + -88x + 25x2 = (9 + -5x)(9 + -5x) + 20x + -4 Multiply (9 + -5x) * (9 + -5x) 83 + -88x + 25x2 = (9(9 + -5x) + -5x * (9 + -5x)) + 20x + -4 83 + -88x + 25x2 = ((9 * 9 + -5x * 9) + -5x * (9 + -5x)) + 20x + -4 83 + -88x + 25x2 = ((81 + -45x) + -5x * (9 + -5x)) + 20x + -4 83 + -88x + 25x2 = (81 + -45x + (9 * -5x + -5x * -5x)) + 20x + -4 83 + -88x + 25x2 = (81 + -45x + (-45x + 25x2)) + 20x + -4 Combine like terms: -45x + -45x = -90x 83 + -88x + 25x2 = (81 + -90x + 25x2) + 20x + -4 Reorder the terms: 83 + -88x + 25x2 = 81 + -4 + -90x + 20x + 25x2 Combine like terms: 81 + -4 = 77 83 + -88x + 25x2 = 77 + -90x + 20x + 25x2 Combine like terms: -90x + 20x = -70x 83 + -88x + 25x2 = 77 + -70x + 25x2 Add '-25x2' to each side of the equation. 83 + -88x + 25x2 + -25x2 = 77 + -70x + 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 83 + -88x + 0 = 77 + -70x + 25x2 + -25x2 83 + -88x = 77 + -70x + 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 83 + -88x = 77 + -70x + 0 83 + -88x = 77 + -70x Solving 83 + -88x = 77 + -70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70x' to each side of the equation. 83 + -88x + 70x = 77 + -70x + 70x Combine like terms: -88x + 70x = -18x 83 + -18x = 77 + -70x + 70x Combine like terms: -70x + 70x = 0 83 + -18x = 77 + 0 83 + -18x = 77 Add '-83' to each side of the equation. 83 + -83 + -18x = 77 + -83 Combine like terms: 83 + -83 = 0 0 + -18x = 77 + -83 -18x = 77 + -83 Combine like terms: 77 + -83 = -6 -18x = -6 Divide each side by '-18'. x = 0.3333333333 Simplifying x = 0.3333333333
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