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Simplifying 7(3x + 4) = 8(2x + 5) + 3 Reorder the terms: 7(4 + 3x) = 8(2x + 5) + 3 (4 * 7 + 3x * 7) = 8(2x + 5) + 3 (28 + 21x) = 8(2x + 5) + 3 Reorder the terms: 28 + 21x = 8(5 + 2x) + 3 28 + 21x = (5 * 8 + 2x * 8) + 3 28 + 21x = (40 + 16x) + 3 Reorder the terms: 28 + 21x = 40 + 3 + 16x Combine like terms: 40 + 3 = 43 28 + 21x = 43 + 16x Solving 28 + 21x = 43 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 28 + 21x + -16x = 43 + 16x + -16x Combine like terms: 21x + -16x = 5x 28 + 5x = 43 + 16x + -16x Combine like terms: 16x + -16x = 0 28 + 5x = 43 + 0 28 + 5x = 43 Add '-28' to each side of the equation. 28 + -28 + 5x = 43 + -28 Combine like terms: 28 + -28 = 0 0 + 5x = 43 + -28 5x = 43 + -28 Combine like terms: 43 + -28 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
| 9c-c=54-6 | | 9p+12=5p-32 | | 2(v-7)=5v+13 | | 5(x-1)-3(x-4)=4(x+4) | | =7(6n-2)-6(8-3n) | | 3q=-11+14 | | 9+2ax+18=0 | | 2000=n(5n) | | -8+3q=-5 | | x^2-y=14 | | 4p-7p=6 | | 6x+37=16x-44 | | logx*27=3 | | 8x-9w+3y+5w+3x+8y= | | -14+3q=-11 | | 3(2m-5)=2m(5)-3 | | 152-9X=8X+18 | | X^2+px-2p^2=0 | | 12(v+1)-4v=4(2v+2)-13 | | 8m+4n-4m+11n= | | 9x^2+3x+5=60 | | 4(x+2)=-2(x-5)+7 | | 7x+23=2x+118 | | 107-3x=24x-20 | | 39-4x=5x+20 | | 7x+2y+7z-4x+3z-3y= | | p-7=3p-11 | | x^2+10x-6=3 | | 4=-1(4.5p+25) | | 91-2x=10x-19 | | 3(d+y)=y-6 | | 3(x-3)+2x+5+4x-1=49 |