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Simplifying (5x + -6)(2x + 3) + (2x + 3)(3x + -2) = 2x(8x + 1) Reorder the terms: (-6 + 5x)(2x + 3) + (2x + 3)(3x + -2) = 2x(8x + 1) Reorder the terms: (-6 + 5x)(3 + 2x) + (2x + 3)(3x + -2) = 2x(8x + 1) Multiply (-6 + 5x) * (3 + 2x) (-6(3 + 2x) + 5x * (3 + 2x)) + (2x + 3)(3x + -2) = 2x(8x + 1) ((3 * -6 + 2x * -6) + 5x * (3 + 2x)) + (2x + 3)(3x + -2) = 2x(8x + 1) ((-18 + -12x) + 5x * (3 + 2x)) + (2x + 3)(3x + -2) = 2x(8x + 1) (-18 + -12x + (3 * 5x + 2x * 5x)) + (2x + 3)(3x + -2) = 2x(8x + 1) (-18 + -12x + (15x + 10x2)) + (2x + 3)(3x + -2) = 2x(8x + 1) Combine like terms: -12x + 15x = 3x (-18 + 3x + 10x2) + (2x + 3)(3x + -2) = 2x(8x + 1) Reorder the terms: -18 + 3x + 10x2 + (3 + 2x)(3x + -2) = 2x(8x + 1) Reorder the terms: -18 + 3x + 10x2 + (3 + 2x)(-2 + 3x) = 2x(8x + 1) Multiply (3 + 2x) * (-2 + 3x) -18 + 3x + 10x2 + (3(-2 + 3x) + 2x * (-2 + 3x)) = 2x(8x + 1) -18 + 3x + 10x2 + ((-2 * 3 + 3x * 3) + 2x * (-2 + 3x)) = 2x(8x + 1) -18 + 3x + 10x2 + ((-6 + 9x) + 2x * (-2 + 3x)) = 2x(8x + 1) -18 + 3x + 10x2 + (-6 + 9x + (-2 * 2x + 3x * 2x)) = 2x(8x + 1) -18 + 3x + 10x2 + (-6 + 9x + (-4x + 6x2)) = 2x(8x + 1) Combine like terms: 9x + -4x = 5x -18 + 3x + 10x2 + (-6 + 5x + 6x2) = 2x(8x + 1) Reorder the terms: -18 + -6 + 3x + 5x + 10x2 + 6x2 = 2x(8x + 1) Combine like terms: -18 + -6 = -24 -24 + 3x + 5x + 10x2 + 6x2 = 2x(8x + 1) Combine like terms: 3x + 5x = 8x -24 + 8x + 10x2 + 6x2 = 2x(8x + 1) Combine like terms: 10x2 + 6x2 = 16x2 -24 + 8x + 16x2 = 2x(8x + 1) Reorder the terms: -24 + 8x + 16x2 = 2x(1 + 8x) -24 + 8x + 16x2 = (1 * 2x + 8x * 2x) -24 + 8x + 16x2 = (2x + 16x2) Add '-16x2' to each side of the equation. -24 + 8x + 16x2 + -16x2 = 2x + 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -24 + 8x + 0 = 2x + 16x2 + -16x2 -24 + 8x = 2x + 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -24 + 8x = 2x + 0 -24 + 8x = 2x Solving -24 + 8x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 8x + -2x = 2x + -2x Combine like terms: 8x + -2x = 6x -24 + 6x = 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 6x = 0 Add '24' to each side of the equation. -24 + 24 + 6x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = 0 + 24 6x = 0 + 24 Combine like terms: 0 + 24 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
| 3(x-5)=21+x | | 6(t-4)+4t=5(2t+2)-9 | | 14-8x=52-15x | | x-7+5=17 | | x-7+5=17 | | -2(3s-4)-8=-2(6s+8)-2 | | 3x-7=137 | | x^2-2x+29=9x+1 | | (2x+7)(2x^2-9x+7)=0 | | x+2-3=8 | | -13.6=f+-5.4 | | X^2-11x+22=4 | | x^2-1x+30=0 | | 7h=-49 | | -5(3x+7)+20=-40 | | x^2+8x+25=10 | | R+176=959 | | 44+x=344 | | 6x+4=-(x-11) | | 9(13-8y)-2y=6 | | 2x^3+3x^2-8x-2=0 | | 398+x=421 | | 4x+29=13x-32 | | -3(2x-8)=0 | | 50-5x=13x+22 | | 10x-3=307 | | 8x+24=16x | | 2(x-15)=84 | | 4+59x+20=7x | | 7p=-21 | | 3x-5+21=13 | | 24x+30=54 |