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Simplifying 3x + -1(10x + -1((9 + -30x + 25x2) + -8) + (5x + -3)(5x + 4)) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Remove parenthesis around (9 + -30x + 25x2) 3x + -1(10x + -1(9 + -30x + 25x2 + -8) + (5x + -3)(5x + 4)) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Reorder the terms: 3x + -1(10x + -1(9 + -8 + -30x + 25x2) + (5x + -3)(5x + 4)) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Combine like terms: 9 + -8 = 1 3x + -1(10x + -1(1 + -30x + 25x2) + (5x + -3)(5x + 4)) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) 3x + -1(10x + (1 * -1 + -30x * -1 + 25x2 * -1) + (5x + -3)(5x + 4)) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) 3x + -1(10x + (-1 + 30x + -25x2) + (5x + -3)(5x + 4)) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Reorder the terms: 3x + -1(10x + -1 + 30x + -25x2 + (-3 + 5x)(5x + 4)) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Reorder the terms: 3x + -1(10x + -1 + 30x + -25x2 + (-3 + 5x)(4 + 5x)) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Multiply (-3 + 5x) * (4 + 5x) 3x + -1(10x + -1 + 30x + -25x2 + (-3(4 + 5x) + 5x * (4 + 5x))) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) 3x + -1(10x + -1 + 30x + -25x2 + ((4 * -3 + 5x * -3) + 5x * (4 + 5x))) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) 3x + -1(10x + -1 + 30x + -25x2 + ((-12 + -15x) + 5x * (4 + 5x))) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) 3x + -1(10x + -1 + 30x + -25x2 + (-12 + -15x + (4 * 5x + 5x * 5x))) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) 3x + -1(10x + -1 + 30x + -25x2 + (-12 + -15x + (20x + 25x2))) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Combine like terms: -15x + 20x = 5x 3x + -1(10x + -1 + 30x + -25x2 + (-12 + 5x + 25x2)) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Reorder the terms: 3x + -1(-1 + -12 + 10x + 30x + 5x + -25x2 + 25x2) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Combine like terms: -1 + -12 = -13 3x + -1(-13 + 10x + 30x + 5x + -25x2 + 25x2) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Combine like terms: 10x + 30x = 40x 3x + -1(-13 + 40x + 5x + -25x2 + 25x2) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Combine like terms: 40x + 5x = 45x 3x + -1(-13 + 45x + -25x2 + 25x2) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Combine like terms: -25x2 + 25x2 = 0 3x + -1(-13 + 45x + 0) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) 3x + -1(-13 + 45x) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) 3x + (-13 * -1 + 45x * -1) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) 3x + (13 + -45x) = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Reorder the terms: 13 + 3x + -45x = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Combine like terms: 3x + -45x = -42x 13 + -42x = 3(6x2 + -4) + -9(3x + (2x + -1)(x + -3)) Reorder the terms: 13 + -42x = 3(-4 + 6x2) + -9(3x + (2x + -1)(x + -3)) 13 + -42x = (-4 * 3 + 6x2 * 3) + -9(3x + (2x + -1)(x + -3)) 13 + -42x = (-12 + 18x2) + -9(3x + (2x + -1)(x + -3)) Reorder the terms: 13 + -42x = -12 + 18x2 + -9(3x + (-1 + 2x)(x + -3)) Reorder the terms: 13 + -42x = -12 + 18x2 + -9(3x + (-1 + 2x)(-3 + x)) Multiply (-1 + 2x) * (-3 + x) 13 + -42x = -12 + 18x2 + -9(3x + (-1(-3 + x) + 2x * (-3 + x))) 13 + -42x = -12 + 18x2 + -9(3x + ((-3 * -1 + x * -1) + 2x * (-3 + x))) 13 + -42x = -12 + 18x2 + -9(3x + ((3 + -1x) + 2x * (-3 + x))) 13 + -42x = -12 + 18x2 + -9(3x + (3 + -1x + (-3 * 2x + x * 2x))) 13 + -42x = -12 + 18x2 + -9(3x + (3 + -1x + (-6x + 2x2))) Combine like terms: -1x + -6x = -7x 13 + -42x = -12 + 18x2 + -9(3x + (3 + -7x + 2x2)) Reorder the terms: 13 + -42x = -12 + 18x2 + -9(3 + 3x + -7x + 2x2) Combine like terms: 3x + -7x = -4x 13 + -42x = -12 + 18x2 + -9(3 + -4x + 2x2) 13 + -42x = -12 + 18x2 + (3 * -9 + -4x * -9 + 2x2 * -9) 13 + -42x = -12 + 18x2 + (-27 + 36x + -18x2) Reorder the terms: 13 + -42x = -12 + -27 + 36x + 18x2 + -18x2 Combine like terms: -12 + -27 = -39 13 + -42x = -39 + 36x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 13 + -42x = -39 + 36x + 0 13 + -42x = -39 + 36x Solving 13 + -42x = -39 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 13 + -42x + -36x = -39 + 36x + -36x Combine like terms: -42x + -36x = -78x 13 + -78x = -39 + 36x + -36x Combine like terms: 36x + -36x = 0 13 + -78x = -39 + 0 13 + -78x = -39 Add '-13' to each side of the equation. 13 + -13 + -78x = -39 + -13 Combine like terms: 13 + -13 = 0 0 + -78x = -39 + -13 -78x = -39 + -13 Combine like terms: -39 + -13 = -52 -78x = -52 Divide each side by '-78'. x = 0.6666666667 Simplifying x = 0.6666666667
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