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Simplifying (2x + -5)(3x + -1) = (2x + -1)(3x + 2) Reorder the terms: (-5 + 2x)(3x + -1) = (2x + -1)(3x + 2) Reorder the terms: (-5 + 2x)(-1 + 3x) = (2x + -1)(3x + 2) Multiply (-5 + 2x) * (-1 + 3x) (-5(-1 + 3x) + 2x * (-1 + 3x)) = (2x + -1)(3x + 2) ((-1 * -5 + 3x * -5) + 2x * (-1 + 3x)) = (2x + -1)(3x + 2) ((5 + -15x) + 2x * (-1 + 3x)) = (2x + -1)(3x + 2) (5 + -15x + (-1 * 2x + 3x * 2x)) = (2x + -1)(3x + 2) (5 + -15x + (-2x + 6x2)) = (2x + -1)(3x + 2) Combine like terms: -15x + -2x = -17x (5 + -17x + 6x2) = (2x + -1)(3x + 2) Reorder the terms: 5 + -17x + 6x2 = (-1 + 2x)(3x + 2) Reorder the terms: 5 + -17x + 6x2 = (-1 + 2x)(2 + 3x) Multiply (-1 + 2x) * (2 + 3x) 5 + -17x + 6x2 = (-1(2 + 3x) + 2x * (2 + 3x)) 5 + -17x + 6x2 = ((2 * -1 + 3x * -1) + 2x * (2 + 3x)) 5 + -17x + 6x2 = ((-2 + -3x) + 2x * (2 + 3x)) 5 + -17x + 6x2 = (-2 + -3x + (2 * 2x + 3x * 2x)) 5 + -17x + 6x2 = (-2 + -3x + (4x + 6x2)) Combine like terms: -3x + 4x = 1x 5 + -17x + 6x2 = (-2 + 1x + 6x2) Add '-6x2' to each side of the equation. 5 + -17x + 6x2 + -6x2 = -2 + 1x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 5 + -17x + 0 = -2 + 1x + 6x2 + -6x2 5 + -17x = -2 + 1x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 5 + -17x = -2 + 1x + 0 5 + -17x = -2 + 1x Solving 5 + -17x = -2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -17x + -1x = -2 + 1x + -1x Combine like terms: -17x + -1x = -18x 5 + -18x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + -18x = -2 + 0 5 + -18x = -2 Add '-5' to each side of the equation. 5 + -5 + -18x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -18x = -2 + -5 -18x = -2 + -5 Combine like terms: -2 + -5 = -7 -18x = -7 Divide each side by '-18'. x = 0.3888888889 Simplifying x = 0.3888888889
| https://my.hrw.com/evteacher/images/6c24a9b065a8441db3f7b62b9da79813/e_grade_7_online_test_2_7a_6.jpg | | 4d+5=20 | | (3x)(3x)+25x-18= | | x^2+10x-9=2x^2 | | 36x^2-476x-2464= | | X^2(y-1)dx+y^2(x-1)dy=0 | | x+1024= | | 2=1024 | | -4j+8=20 | | 3g+15=-12 | | -5k-2=-12 | | 2/x=22 | | (2/c | | 8x+6-2=72 | | 6xy+3yx-xy-2yx= | | =3d | | 6x-3(6)=18(3-8) | | X+y+520=1300 | | x^2+-4x+-10=0 | | 6x-3(-6)=18(3-8) | | 15w-17w=-8 | | 3x-x=5000 | | 21x+6-23x=1-5 | | 2u^2-50=0 | | 7(x-1)=-3(x+4)+49 | | 5(25.8+-0.2y+-1.6z)+1y+8z=129 | | 5x+1y+8z=129 | | 3x-5y+5x-2y= | | -t^2-14t=0 | | 64=5y-16 | | 4x+5=5x+70 | | 0.25q+0.1(3q)+0.05(3q-5)=1.85 |
