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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 = -1x (-2 + -1x + x2) + -1(4x + -1)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7) Reorder the terms: -2 + -1x + x2 + -1(-1 + 4x)(3x + 5) + -6 = 8x + -11(x + -3)(x + 7) Reorder the terms: -2 + -1x + x2 + -1(-1 + 4x)(5 + 3x) + -6 = 8x + -11(x + -3)(x + 7) Multiply (-1 + 4x) * (5 + 3x) -2 + -1x + x2 + -1(-1(5 + 3x) + 4x * (5 + 3x)) + -6 = 8x + -11(x + -3)(x + 7) -2 + -1x + x2 + -1((5 * -1 + 3x * -1) + 4x * (5 + 3x)) + -6 = 8x + -11(x + -3)(x + 7) -2 + -1x + x2 + -1((-5 + -3x) + 4x * (5 + 3x)) + -6 = 8x + -11(x + -3)(x + 7) -2 + -1x + x2 + -1(-5 + -3x + (5 * 4x + 3x * 4x)) + -6 = 8x + -11(x + -3)(x + 7) -2 + -1x + x2 + -1(-5 + -3x + (20x + 12x2)) + -6 = 8x + -11(x + -3)(x + 7) Combine like terms: -3x + 20x = 17x -2 + -1x + x2 + -1(-5 + 17x + 12x2) + -6 = 8x + -11(x + -3)(x + 7) -2 + -1x + x2 + (-5 * -1 + 17x * -1 + 12x2 * -1) + -6 = 8x + -11(x + -3)(x + 7) -2 + -1x + x2 + (5 + -17x + -12x2) + -6 = 8x + -11(x + -3)(x + 7) Reorder the terms: -2 + 5 + -6 + -1x + -17x + x2 + -12x2 = 8x + -11(x + -3)(x + 7) Combine like terms: -2 + 5 = 3 3 + -6 + -1x + -17x + x2 + -12x2 = 8x + -11(x + -3)(x + 7) Combine like terms: 3 + -6 = -3 -3 + -1x + -17x + x2 + -12x2 = 8x + -11(x + -3)(x + 7) Combine like terms: -1x + -17x = -18x -3 + -18x + x2 + -12x2 = 8x + -11(x + -3)(x + 7) Combine like terms: x2 + -12x2 = -11x2 -3 + -18x + -11x2 = 8x + -11(x + -3)(x + 7) Reorder the terms: -3 + -18x + -11x2 = 8x + -11(-3 + x)(x + 7) Reorder the terms: -3 + -18x + -11x2 = 8x + -11(-3 + x)(7 + x) Multiply (-3 + x) * (7 + x) -3 + -18x + -11x2 = 8x + -11(-3(7 + x) + x(7 + x)) -3 + -18x + -11x2 = 8x + -11((7 * -3 + x * -3) + x(7 + x)) -3 + -18x + -11x2 = 8x + -11((-21 + -3x) + x(7 + x)) -3 + -18x + -11x2 = 8x + -11(-21 + -3x + (7 * x + x * x)) -3 + -18x + -11x2 = 8x + -11(-21 + -3x + (7x + x2)) Combine like terms: -3x + 7x = 4x -3 + -18x + -11x2 = 8x + -11(-21 + 4x + x2) -3 + -18x + -11x2 = 8x + (-21 * -11 + 4x * -11 + x2 * -11) -3 + -18x + -11x2 = 8x + (231 + -44x + -11x2) Reorder the terms: -3 + -18x + -11x2 = 231 + 8x + -44x + -11x2 Combine like terms: 8x + -44x = -36x -3 + -18x + -11x2 = 231 + -36x + -11x2 Add '11x2' to each side of the equation. -3 + -18x + -11x2 + 11x2 = 231 + -36x + -11x2 + 11x2 Combine like terms: -11x2 + 11x2 = 0 -3 + -18x + 0 = 231 + -36x + -11x2 + 11x2 -3 + -18x = 231 + -36x + -11x2 + 11x2 Combine like terms: -11x2 + 11x2 = 0 -3 + -18x = 231 + -36x + 0 -3 + -18x = 231 + -36x Solving -3 + -18x = 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. -3 + -18x + 36x = 231 + -36x + 36x Combine like terms: -18x + 36x = 18x -3 + 18x = 231 + -36x + 36x Combine like terms: -36x + 36x = 0 -3 + 18x = 231 + 0 -3 + 18x = 231 Add '3' to each side of the equation. -3 + 3 + 18x = 231 + 3 Combine like terms: -3 + 3 = 0 0 + 18x = 231 + 3 18x = 231 + 3 Combine like terms: 231 + 3 = 234 18x = 234 Divide each side by '18'. x = 13 Simplifying x = 13
| 3x+(x+7)*2=-1 | | B=1/2g*m | | 1.18/150000000 | | 2/4+1/3t=2/4 | | 16x+8x-3= | | 9w-7=-4(w+5) | | -16t^2+16t+480= | | 2w+7l= | | 3x-17=154 | | 8(x-8)-6(x-5)+7x= | | (8u^5v^2)/(3v^2+12v+9)/(2u^3)/(3v^2+9v) | | 0=x^2-17x+66 | | 0=x^2-17x+32 | | y+9=8 | | 0.5x-1.6=0.9 | | 64-12(4-4)= | | 8x-(4x-9)=23 | | 5y+6=8y-4y | | 1/6=n/30 | | 5x+135=12x-12 | | 0=x^2-21x+50 | | X-4/2-1=x-9/3 | | 6x-2=1x-6 | | 0=x^2-21x+48 | | 13/4n^-3 | | -2-6a+10+2a+5-7a= | | 0=x^2-9x+8 | | 5x-(4x-3)=5x-23 | | 3x-5=-55-9x | | w/3+4=9 | | 6(5+c)=5c-20 | | 15/3+4=9 |