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Simplifying (3x + 5)(4x + 7) = (3x + 4)(4x + 2) Reorder the terms: (5 + 3x)(4x + 7) = (3x + 4)(4x + 2) Reorder the terms: (5 + 3x)(7 + 4x) = (3x + 4)(4x + 2) Multiply (5 + 3x) * (7 + 4x) (5(7 + 4x) + 3x * (7 + 4x)) = (3x + 4)(4x + 2) ((7 * 5 + 4x * 5) + 3x * (7 + 4x)) = (3x + 4)(4x + 2) ((35 + 20x) + 3x * (7 + 4x)) = (3x + 4)(4x + 2) (35 + 20x + (7 * 3x + 4x * 3x)) = (3x + 4)(4x + 2) (35 + 20x + (21x + 12x2)) = (3x + 4)(4x + 2) Combine like terms: 20x + 21x = 41x (35 + 41x + 12x2) = (3x + 4)(4x + 2) Reorder the terms: 35 + 41x + 12x2 = (4 + 3x)(4x + 2) Reorder the terms: 35 + 41x + 12x2 = (4 + 3x)(2 + 4x) Multiply (4 + 3x) * (2 + 4x) 35 + 41x + 12x2 = (4(2 + 4x) + 3x * (2 + 4x)) 35 + 41x + 12x2 = ((2 * 4 + 4x * 4) + 3x * (2 + 4x)) 35 + 41x + 12x2 = ((8 + 16x) + 3x * (2 + 4x)) 35 + 41x + 12x2 = (8 + 16x + (2 * 3x + 4x * 3x)) 35 + 41x + 12x2 = (8 + 16x + (6x + 12x2)) Combine like terms: 16x + 6x = 22x 35 + 41x + 12x2 = (8 + 22x + 12x2) Add '-12x2' to each side of the equation. 35 + 41x + 12x2 + -12x2 = 8 + 22x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 35 + 41x + 0 = 8 + 22x + 12x2 + -12x2 35 + 41x = 8 + 22x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 35 + 41x = 8 + 22x + 0 35 + 41x = 8 + 22x Solving 35 + 41x = 8 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 35 + 41x + -22x = 8 + 22x + -22x Combine like terms: 41x + -22x = 19x 35 + 19x = 8 + 22x + -22x Combine like terms: 22x + -22x = 0 35 + 19x = 8 + 0 35 + 19x = 8 Add '-35' to each side of the equation. 35 + -35 + 19x = 8 + -35 Combine like terms: 35 + -35 = 0 0 + 19x = 8 + -35 19x = 8 + -35 Combine like terms: 8 + -35 = -27 19x = -27 Divide each side by '19'. x = -1.421052632 Simplifying x = -1.421052632
| -17s+20s+-10s+-5s+4s=16 | | -4=x/7= | | -1+11x+19x+1=180 | | 20r-19r+15r=-16 | | =-4.9t^2+39.2t+1.5 | | 0x+19=y | | 9b+4b-2b-11b+b=14 | | 18=e^4x | | 3(x-7)=2x-50 | | y=x-8(-6-17) | | 5x-5+3x+25=180 | | -16+3+14p=16p+17 | | 12v+5v-2v-7v=8 | | 11x-1=9x+19 | | 7=2+4x | | 3y-8+y+38=8y+30-6y | | 9a+5b+7b= | | 4s+4s-6s=14 | | 3(2x-5)+5=2 | | 12+x*4+x=56 | | 6x+5y=42 | | 5=2+4x | | 1.25x+0.66=.25 | | y=x+2x+y+4 | | 11r-2r-7r-2r+4r=16 | | 3x-15+4x+20=180 | | 6k-5k=15 | | 19.95+2.15=24.95 | | 3x+8=4x+24 | | 9/15=12/y | | 3=30-2x | | -7y+5=17 |