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Simplifying (x + -1)(x + -2) + -1(4x + -1)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7) Reorder the terms: (-1 + x)(x + -2) + -1(4x + -1)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7) Reorder the terms: (-1 + x)(-2 + x) + -1(4x + -1)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7) Multiply (-1 + x) * (-2 + x) (-1(-2 + x) + x(-2 + x)) + -1(4x + -1)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7) ((-2 * -1 + x * -1) + x(-2 + x)) + -1(4x + -1)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7) ((2 + -1x) + x(-2 + x)) + -1(4x + -1)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7) (2 + -1x + (-2 * x + x * x)) + -1(4x + -1)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7) (2 + -1x + (-2x + x2)) + -1(4x + -1)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7) Combine like terms: -1x + -2x = -3x (2 + -3x + x2) + -1(4x + -1)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7) Reorder the terms: 2 + -3x + x2 + -1(-1 + 4x)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7) Reorder the terms: 2 + -3x + x2 + -1(-1 + 4x)(5 + 3x) + -6 = 8x + -11(x + -3)(x + 7) Multiply (-1 + 4x) * (5 + 3x) 2 + -3x + x2 + -1(-1(5 + 3x) + 4x * (5 + 3x)) + -6 = 8x + -11(x + -3)(x + 7) 2 + -3x + x2 + -1((5 * -1 + 3x * -1) + 4x * (5 + 3x)) + -6 = 8x + -11(x + -3)(x + 7) 2 + -3x + x2 + -1((-5 + -3x) + 4x * (5 + 3x)) + -6 = 8x + -11(x + -3)(x + 7) 2 + -3x + x2 + -1(-5 + -3x + (5 * 4x + 3x * 4x)) + -6 = 8x + -11(x + -3)(x + 7) 2 + -3x + x2 + -1(-5 + -3x + (20x + 12x2)) + -6 = 8x + -11(x + -3)(x + 7) Combine like terms: -3x + 20x = 17x 2 + -3x + x2 + -1(-5 + 17x + 12x2) + -6 = 8x + -11(x + -3)(x + 7) 2 + -3x + x2 + (-5 * -1 + 17x * -1 + 12x2 * -1) + -6 = 8x + -11(x + -3)(x + 7) 2 + -3x + x2 + (5 + -17x + -12x2) + -6 = 8x + -11(x + -3)(x + 7) Reorder the terms: 2 + 5 + -6 + -3x + -17x + x2 + -12x2 = 8x + -11(x + -3)(x + 7) Combine like terms: 2 + 5 = 7 7 + -6 + -3x + -17x + x2 + -12x2 = 8x + -11(x + -3)(x + 7) Combine like terms: 7 + -6 = 1 1 + -3x + -17x + x2 + -12x2 = 8x + -11(x + -3)(x + 7) Combine like terms: -3x + -17x = -20x 1 + -20x + x2 + -12x2 = 8x + -11(x + -3)(x + 7) Combine like terms: x2 + -12x2 = -11x2 1 + -20x + -11x2 = 8x + -11(x + -3)(x + 7) Reorder the terms: 1 + -20x + -11x2 = 8x + -11(-3 + x)(x + 7) Reorder the terms: 1 + -20x + -11x2 = 8x + -11(-3 + x)(7 + x) Multiply (-3 + x) * (7 + x) 1 + -20x + -11x2 = 8x + -11(-3(7 + x) + x(7 + x)) 1 + -20x + -11x2 = 8x + -11((7 * -3 + x * -3) + x(7 + x)) 1 + -20x + -11x2 = 8x + -11((-21 + -3x) + x(7 + x)) 1 + -20x + -11x2 = 8x + -11(-21 + -3x + (7 * x + x * x)) 1 + -20x + -11x2 = 8x + -11(-21 + -3x + (7x + x2)) Combine like terms: -3x + 7x = 4x 1 + -20x + -11x2 = 8x + -11(-21 + 4x + x2) 1 + -20x + -11x2 = 8x + (-21 * -11 + 4x * -11 + x2 * -11) 1 + -20x + -11x2 = 8x + (231 + -44x + -11x2) Reorder the terms: 1 + -20x + -11x2 = 231 + 8x + -44x + -11x2 Combine like terms: 8x + -44x = -36x 1 + -20x + -11x2 = 231 + -36x + -11x2 Add '11x2' to each side of the equation. 1 + -20x + -11x2 + 11x2 = 231 + -36x + -11x2 + 11x2 Combine like terms: -11x2 + 11x2 = 0 1 + -20x + 0 = 231 + -36x + -11x2 + 11x2 1 + -20x = 231 + -36x + -11x2 + 11x2 Combine like terms: -11x2 + 11x2 = 0 1 + -20x = 231 + -36x + 0 1 + -20x = 231 + -36x Solving 1 + -20x = 231 + -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. 1 + -20x + 36x = 231 + -36x + 36x Combine like terms: -20x + 36x = 16x 1 + 16x = 231 + -36x + 36x Combine like terms: -36x + 36x = 0 1 + 16x = 231 + 0 1 + 16x = 231 Add '-1' to each side of the equation. 1 + -1 + 16x = 231 + -1 Combine like terms: 1 + -1 = 0 0 + 16x = 231 + -1 16x = 231 + -1 Combine like terms: 231 + -1 = 230 16x = 230 Divide each side by '16'. x = 14.375 Simplifying x = 14.375
| 3(3x-3)+2x=112 | | 8(4v+4)= | | 16v+32= | | 32v+16= | | 0.4(0.1m-0.1)+0.5=-0.1(0.1-0.3m) | | 5(h-2)=-30 | | 8(ln(x+1))=0 | | 4(8v+4)= | | 3+-5=x+2 | | -3(-8+3h)+-5= | | 12.5x+3.4y-6=23+2 | | -16+31=-3(x+9) | | b/6-2 | | (-8+3h)*-3+-5= | | 7(-6b+6)=-6(1+3b) | | 5x^2+-45=0 | | 20+6u=10u | | -3(-3h+6h+-8)-5= | | 35x=50x | | -9h+19= | | x+lgx+4=0 | | 2x+2y=305 | | 7=6-4r+5r | | 17x-4=11x-34 | | 35x-7y=49fory | | -3(3h+-8)-5= | | 10u=28+6u | | 5(x-2)=5x | | 2(2z+4)= | | 20x^4-11x+3=0 | | 2(4z+2)= | | -0.5x+7.56=-0.7x+1.16 |