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Simplifying 5x + -1(4x + -7)(3x + -5) = 6 + -3(4x + -9)(x + -9) Reorder the terms: 5x + -1(-7 + 4x)(3x + -5) = 6 + -3(4x + -9)(x + -9) Reorder the terms: 5x + -1(-7 + 4x)(-5 + 3x) = 6 + -3(4x + -9)(x + -9) Multiply (-7 + 4x) * (-5 + 3x) 5x + -1(-7(-5 + 3x) + 4x * (-5 + 3x)) = 6 + -3(4x + -9)(x + -9) 5x + -1((-5 * -7 + 3x * -7) + 4x * (-5 + 3x)) = 6 + -3(4x + -9)(x + -9) 5x + -1((35 + -21x) + 4x * (-5 + 3x)) = 6 + -3(4x + -9)(x + -9) 5x + -1(35 + -21x + (-5 * 4x + 3x * 4x)) = 6 + -3(4x + -9)(x + -9) 5x + -1(35 + -21x + (-20x + 12x2)) = 6 + -3(4x + -9)(x + -9) Combine like terms: -21x + -20x = -41x 5x + -1(35 + -41x + 12x2) = 6 + -3(4x + -9)(x + -9) 5x + (35 * -1 + -41x * -1 + 12x2 * -1) = 6 + -3(4x + -9)(x + -9) 5x + (-35 + 41x + -12x2) = 6 + -3(4x + -9)(x + -9) Reorder the terms: -35 + 5x + 41x + -12x2 = 6 + -3(4x + -9)(x + -9) Combine like terms: 5x + 41x = 46x -35 + 46x + -12x2 = 6 + -3(4x + -9)(x + -9) Reorder the terms: -35 + 46x + -12x2 = 6 + -3(-9 + 4x)(x + -9) Reorder the terms: -35 + 46x + -12x2 = 6 + -3(-9 + 4x)(-9 + x) Multiply (-9 + 4x) * (-9 + x) -35 + 46x + -12x2 = 6 + -3(-9(-9 + x) + 4x * (-9 + x)) -35 + 46x + -12x2 = 6 + -3((-9 * -9 + x * -9) + 4x * (-9 + x)) -35 + 46x + -12x2 = 6 + -3((81 + -9x) + 4x * (-9 + x)) -35 + 46x + -12x2 = 6 + -3(81 + -9x + (-9 * 4x + x * 4x)) -35 + 46x + -12x2 = 6 + -3(81 + -9x + (-36x + 4x2)) Combine like terms: -9x + -36x = -45x -35 + 46x + -12x2 = 6 + -3(81 + -45x + 4x2) -35 + 46x + -12x2 = 6 + (81 * -3 + -45x * -3 + 4x2 * -3) -35 + 46x + -12x2 = 6 + (-243 + 135x + -12x2) Combine like terms: 6 + -243 = -237 -35 + 46x + -12x2 = -237 + 135x + -12x2 Add '12x2' to each side of the equation. -35 + 46x + -12x2 + 12x2 = -237 + 135x + -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 -35 + 46x + 0 = -237 + 135x + -12x2 + 12x2 -35 + 46x = -237 + 135x + -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 -35 + 46x = -237 + 135x + 0 -35 + 46x = -237 + 135x Solving -35 + 46x = -237 + 135x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-135x' to each side of the equation. -35 + 46x + -135x = -237 + 135x + -135x Combine like terms: 46x + -135x = -89x -35 + -89x = -237 + 135x + -135x Combine like terms: 135x + -135x = 0 -35 + -89x = -237 + 0 -35 + -89x = -237 Add '35' to each side of the equation. -35 + 35 + -89x = -237 + 35 Combine like terms: -35 + 35 = 0 0 + -89x = -237 + 35 -89x = -237 + 35 Combine like terms: -237 + 35 = -202 -89x = -202 Divide each side by '-89'. x = 2.269662921 Simplifying x = 2.269662921
| -3x-3x=0 | | 4/9.52 | | 4y+x=88 | | -3h-6h= | | 2z-z^2=z-12 | | 2x+4x+8x=504 | | -8k+6=-7k-14 | | 4t-6t= | | 3X-Y+Z=-1 | | x+(2y)+(2y+5)=100 | | 3X-Y+2=-1 | | -0.54=-0.31+c | | 7x+14=3x+4 | | 8xsquared-30x-27=0 | | 7x^2-10x+85=0 | | 2(7x+5)=2(3x+7)+4(2x-1) | | 7x^0-10x+85=0 | | Y=x-k | | 3(x/8)=(-2) | | Y=x+k | | (2x)/(9-x^(2))0 | | 5/6*22/3 | | (12x+24)-(15x+18)= | | 2x*y=64 | | 8.5-3x^2=3.5x+2x^2 | | 8.5-3x^2=3.5x+2x | | 1/2z=3z-4/5 | | B-(90.77)=48.57 | | x+19=170 | | (76.02-70.5)+c=3.4 | | 2(3y-5)=2y+6 | | (76.2-70.5)+c=3.4 |