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Simplifying (x + 2)(3x + 4) + -1(x + -2)(2x + -1) + -1(x + 4)(x + 3) = 26 Reorder the terms: (2 + x)(3x + 4) + -1(x + -2)(2x + -1) + -1(x + 4)(x + 3) = 26 Reorder the terms: (2 + x)(4 + 3x) + -1(x + -2)(2x + -1) + -1(x + 4)(x + 3) = 26 Multiply (2 + x) * (4 + 3x) (2(4 + 3x) + x(4 + 3x)) + -1(x + -2)(2x + -1) + -1(x + 4)(x + 3) = 26 ((4 * 2 + 3x * 2) + x(4 + 3x)) + -1(x + -2)(2x + -1) + -1(x + 4)(x + 3) = 26 ((8 + 6x) + x(4 + 3x)) + -1(x + -2)(2x + -1) + -1(x + 4)(x + 3) = 26 (8 + 6x + (4 * x + 3x * x)) + -1(x + -2)(2x + -1) + -1(x + 4)(x + 3) = 26 (8 + 6x + (4x + 3x2)) + -1(x + -2)(2x + -1) + -1(x + 4)(x + 3) = 26 Combine like terms: 6x + 4x = 10x (8 + 10x + 3x2) + -1(x + -2)(2x + -1) + -1(x + 4)(x + 3) = 26 Reorder the terms: 8 + 10x + 3x2 + -1(-2 + x)(2x + -1) + -1(x + 4)(x + 3) = 26 Reorder the terms: 8 + 10x + 3x2 + -1(-2 + x)(-1 + 2x) + -1(x + 4)(x + 3) = 26 Multiply (-2 + x) * (-1 + 2x) 8 + 10x + 3x2 + -1(-2(-1 + 2x) + x(-1 + 2x)) + -1(x + 4)(x + 3) = 26 8 + 10x + 3x2 + -1((-1 * -2 + 2x * -2) + x(-1 + 2x)) + -1(x + 4)(x + 3) = 26 8 + 10x + 3x2 + -1((2 + -4x) + x(-1 + 2x)) + -1(x + 4)(x + 3) = 26 8 + 10x + 3x2 + -1(2 + -4x + (-1 * x + 2x * x)) + -1(x + 4)(x + 3) = 26 8 + 10x + 3x2 + -1(2 + -4x + (-1x + 2x2)) + -1(x + 4)(x + 3) = 26 Combine like terms: -4x + -1x = -5x 8 + 10x + 3x2 + -1(2 + -5x + 2x2) + -1(x + 4)(x + 3) = 26 8 + 10x + 3x2 + (2 * -1 + -5x * -1 + 2x2 * -1) + -1(x + 4)(x + 3) = 26 8 + 10x + 3x2 + (-2 + 5x + -2x2) + -1(x + 4)(x + 3) = 26 Reorder the terms: 8 + 10x + 3x2 + -2 + 5x + -2x2 + -1(4 + x)(x + 3) = 26 Reorder the terms: 8 + 10x + 3x2 + -2 + 5x + -2x2 + -1(4 + x)(3 + x) = 26 Multiply (4 + x) * (3 + x) 8 + 10x + 3x2 + -2 + 5x + -2x2 + -1(4(3 + x) + x(3 + x)) = 26 8 + 10x + 3x2 + -2 + 5x + -2x2 + -1((3 * 4 + x * 4) + x(3 + x)) = 26 8 + 10x + 3x2 + -2 + 5x + -2x2 + -1((12 + 4x) + x(3 + x)) = 26 8 + 10x + 3x2 + -2 + 5x + -2x2 + -1(12 + 4x + (3 * x + x * x)) = 26 8 + 10x + 3x2 + -2 + 5x + -2x2 + -1(12 + 4x + (3x + x2)) = 26 Combine like terms: 4x + 3x = 7x 8 + 10x + 3x2 + -2 + 5x + -2x2 + -1(12 + 7x + x2) = 26 8 + 10x + 3x2 + -2 + 5x + -2x2 + (12 * -1 + 7x * -1 + x2 * -1) = 26 8 + 10x + 3x2 + -2 + 5x + -2x2 + (-12 + -7x + -1x2) = 26 Reorder the terms: 8 + -2 + -12 + 10x + 5x + -7x + 3x2 + -2x2 + -1x2 = 26 Combine like terms: 8 + -2 = 6 6 + -12 + 10x + 5x + -7x + 3x2 + -2x2 + -1x2 = 26 Combine like terms: 6 + -12 = -6 -6 + 10x + 5x + -7x + 3x2 + -2x2 + -1x2 = 26 Combine like terms: 10x + 5x = 15x -6 + 15x + -7x + 3x2 + -2x2 + -1x2 = 26 Combine like terms: 15x + -7x = 8x -6 + 8x + 3x2 + -2x2 + -1x2 = 26 Combine like terms: 3x2 + -2x2 = 1x2 -6 + 8x + 1x2 + -1x2 = 26 Combine like terms: 1x2 + -1x2 = 0 -6 + 8x + 0 = 26 -6 + 8x = 26 Solving -6 + 8x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8x = 26 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 26 + 6 8x = 26 + 6 Combine like terms: 26 + 6 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
| 3(x-5)=5x-7 | | 11-7x=10x+19 | | 2(3p-1)-7=13 | | 2(3x-2)2=6x-4 | | -20-5x=9x+22 | | (2x+1)(x+7)= | | 2y^2+25y-150=0 | | 1=5n | | (6x-15)(3x+20)=(5x-4)(8x+3)-(12+22x^2) | | 15n^2+8n-16=0 | | 4+20m+25m^2=0 | | 7+3m=34 | | 24+10m+m^2=0 | | (3-x)(5+x)-4x=(2-x)(8+x)-x | | y=6x^5-5x^4-30x^3+11x | | 3x^3-x^2+2x-24=0 | | (5x)(-7)+(8)=(6x)(-7)-(7) | | (x+2)(3-x)=(5+x)(7-x)+2(x+29) | | 4x+7y=2005 | | 4x+9y=58 | | 4(x-1)+3(2+x)=2 | | 20-4P=10+P | | 6x+28=52+x | | 4(2x+5)-10=-8+5x | | (12-x)(15+x)=(8-x)(9+x) | | (12-x)(15+x)=(8-x)(9+x) | | 5(x-1)-3(4x+2)=2(2x-1) | | x^4+6x^3+5x^2-12x+3=0 | | 5x-1=15-101 | | 3x+7=2(2x+10)-15 | | 40-2P=20+2P | | 5x^2+4x=3(2-x) |