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Simplifying (2x + -3)(3x + 5) = (6x + -7)(x + 4) Reorder the terms: (-3 + 2x)(3x + 5) = (6x + -7)(x + 4) Reorder the terms: (-3 + 2x)(5 + 3x) = (6x + -7)(x + 4) Multiply (-3 + 2x) * (5 + 3x) (-3(5 + 3x) + 2x * (5 + 3x)) = (6x + -7)(x + 4) ((5 * -3 + 3x * -3) + 2x * (5 + 3x)) = (6x + -7)(x + 4) ((-15 + -9x) + 2x * (5 + 3x)) = (6x + -7)(x + 4) (-15 + -9x + (5 * 2x + 3x * 2x)) = (6x + -7)(x + 4) (-15 + -9x + (10x + 6x2)) = (6x + -7)(x + 4) Combine like terms: -9x + 10x = 1x (-15 + 1x + 6x2) = (6x + -7)(x + 4) Reorder the terms: -15 + 1x + 6x2 = (-7 + 6x)(x + 4) Reorder the terms: -15 + 1x + 6x2 = (-7 + 6x)(4 + x) Multiply (-7 + 6x) * (4 + x) -15 + 1x + 6x2 = (-7(4 + x) + 6x * (4 + x)) -15 + 1x + 6x2 = ((4 * -7 + x * -7) + 6x * (4 + x)) -15 + 1x + 6x2 = ((-28 + -7x) + 6x * (4 + x)) -15 + 1x + 6x2 = (-28 + -7x + (4 * 6x + x * 6x)) -15 + 1x + 6x2 = (-28 + -7x + (24x + 6x2)) Combine like terms: -7x + 24x = 17x -15 + 1x + 6x2 = (-28 + 17x + 6x2) Add '-6x2' to each side of the equation. -15 + 1x + 6x2 + -6x2 = -28 + 17x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -15 + 1x + 0 = -28 + 17x + 6x2 + -6x2 -15 + 1x = -28 + 17x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -15 + 1x = -28 + 17x + 0 -15 + 1x = -28 + 17x Solving -15 + 1x = -28 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -15 + 1x + -17x = -28 + 17x + -17x Combine like terms: 1x + -17x = -16x -15 + -16x = -28 + 17x + -17x Combine like terms: 17x + -17x = 0 -15 + -16x = -28 + 0 -15 + -16x = -28 Add '15' to each side of the equation. -15 + 15 + -16x = -28 + 15 Combine like terms: -15 + 15 = 0 0 + -16x = -28 + 15 -16x = -28 + 15 Combine like terms: -28 + 15 = -13 -16x = -13 Divide each side by '-16'. x = 0.8125 Simplifying x = 0.8125
| x/4+13 | | h=2Lw+2wh+5hL | | 1=5n-(n+7) | | 50=.15x+5 | | S=2Lw+2wh+5hL | | -5+x/22 | | 41-3/8x=-22 | | 6x+7/7-6x | | 36=.96x | | 17-5/9x=22 | | 9x-2(3x-4)=14 | | 5x/2-14/5-1/10+7x/4 | | 6x+7=0 | | -8x*3=-17 | | 5b+12=2 | | 1/x-3 | | -6=b/13 | | U^2-2U-16=0 | | A/a-8=-27/a-12 | | z^2-2z+z=0 | | 3x-3(2)=12 | | 7x-2x+9=x-7+16 | | 14/5+1/8t=5 | | 12y+12=15y-12y | | A/a-8 | | X+8/3=4x | | 3(-1)-3y=12 | | x+8/6=x-7 | | x+8/(6)=x-7 | | 14-2x/3=18 | | 35-(x+9)=9x-4 | | 3x/5+22=28 |