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Simplifying (x + 2)(x + 1) = (x + 3)(x + -1) Reorder the terms: (2 + x)(x + 1) = (x + 3)(x + -1) Reorder the terms: (2 + x)(1 + x) = (x + 3)(x + -1) Multiply (2 + x) * (1 + x) (2(1 + x) + x(1 + x)) = (x + 3)(x + -1) ((1 * 2 + x * 2) + x(1 + x)) = (x + 3)(x + -1) ((2 + 2x) + x(1 + x)) = (x + 3)(x + -1) (2 + 2x + (1 * x + x * x)) = (x + 3)(x + -1) (2 + 2x + (1x + x2)) = (x + 3)(x + -1) Combine like terms: 2x + 1x = 3x (2 + 3x + x2) = (x + 3)(x + -1) Reorder the terms: 2 + 3x + x2 = (3 + x)(x + -1) Reorder the terms: 2 + 3x + x2 = (3 + x)(-1 + x) Multiply (3 + x) * (-1 + x) 2 + 3x + x2 = (3(-1 + x) + x(-1 + x)) 2 + 3x + x2 = ((-1 * 3 + x * 3) + x(-1 + x)) 2 + 3x + x2 = ((-3 + 3x) + x(-1 + x)) 2 + 3x + x2 = (-3 + 3x + (-1 * x + x * x)) 2 + 3x + x2 = (-3 + 3x + (-1x + x2)) Combine like terms: 3x + -1x = 2x 2 + 3x + x2 = (-3 + 2x + x2) Add '-1x2' to each side of the equation. 2 + 3x + x2 + -1x2 = -3 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + 3x + 0 = -3 + 2x + x2 + -1x2 2 + 3x = -3 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + 3x = -3 + 2x + 0 2 + 3x = -3 + 2x Solving 2 + 3x = -3 + 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. 2 + 3x + -2x = -3 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = -3 + 0 2 + 1x = -3 Add '-2' to each side of the equation. 2 + -2 + 1x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -3 + -2 1x = -3 + -2 Combine like terms: -3 + -2 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
| x-5/9=-13/9 | | -7/40=k+5/8 | | a+10=9 | | t+1/5=13/40 | | 3/4m=3/14 | | k+10=39/4 | | (x-2)(x+1)=(x+3)(x-1) | | w-2=-7 | | n^2=50 | | 6+t=7 | | 7m=-14/3 | | n+1=-2 | | a+8=86/11 | | 6m=-27/5 | | 1/6t=1/12 | | 6(x+1)=3(x-2) | | 10+3m=4m+6m | | 31/4=w-1/4 | | -8+a=-7 | | d-4/5=-11/20 | | a/7=-3 | | 2x/5=x-3 | | m/4=5/7 | | -2/3w=-4/27 | | 9/3m=3m+4 | | -a=-1/3 | | t/-7=-2/3 | | x-1/2=-11/2 | | b+8=17 | | k+7=32/5 | | 19/12=w+1 | | -23/4=n+1/4 |