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Simplifying 3(4x + -5) + 2(5x + 7) = 8(2x + 7) + 9 Reorder the terms: 3(-5 + 4x) + 2(5x + 7) = 8(2x + 7) + 9 (-5 * 3 + 4x * 3) + 2(5x + 7) = 8(2x + 7) + 9 (-15 + 12x) + 2(5x + 7) = 8(2x + 7) + 9 Reorder the terms: -15 + 12x + 2(7 + 5x) = 8(2x + 7) + 9 -15 + 12x + (7 * 2 + 5x * 2) = 8(2x + 7) + 9 -15 + 12x + (14 + 10x) = 8(2x + 7) + 9 Reorder the terms: -15 + 14 + 12x + 10x = 8(2x + 7) + 9 Combine like terms: -15 + 14 = -1 -1 + 12x + 10x = 8(2x + 7) + 9 Combine like terms: 12x + 10x = 22x -1 + 22x = 8(2x + 7) + 9 Reorder the terms: -1 + 22x = 8(7 + 2x) + 9 -1 + 22x = (7 * 8 + 2x * 8) + 9 -1 + 22x = (56 + 16x) + 9 Reorder the terms: -1 + 22x = 56 + 9 + 16x Combine like terms: 56 + 9 = 65 -1 + 22x = 65 + 16x Solving -1 + 22x = 65 + 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. -1 + 22x + -16x = 65 + 16x + -16x Combine like terms: 22x + -16x = 6x -1 + 6x = 65 + 16x + -16x Combine like terms: 16x + -16x = 0 -1 + 6x = 65 + 0 -1 + 6x = 65 Add '1' to each side of the equation. -1 + 1 + 6x = 65 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 65 + 1 6x = 65 + 1 Combine like terms: 65 + 1 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
| 4[x-9]+6=42 | | B+95=275 | | 4+6x/2=42 | | -5+9(x-2)=14x+3-5x | | 9(3x-4)-7(2x-9)=300 | | 9y-2y=84 | | (5x+1)/2-(x-2)/6=(2x+4)/3 | | -6x=-56+2x | | 8t-22=3(3t+11)-t | | 1/5(x-3)=3x-2(x-1)+51/5 | | 6y+9=1-2y | | y=x^2-4x-21 | | 2x(x+7)=5x+35 | | 15=-3(x+2) | | 2x^2-x-2=-3x | | -10=4x | | x^2(x+2)=3x+4560 | | 99-6x=9+24 | | 5a-10b/4b*2-a*2 | | (-12/4)-(9/9) | | 23x=46 | | -15+x=51 | | 6(3x-4)-5(2x+3)=7 | | 156/x=12 | | 5k+4=44-3k | | x-7=9-x | | 5+5+3x-14+3x-1=1000 | | 5x+10=10x+5 | | x/10=17/13 | | 2(3+8)+2*4/2(5-1) | | 2/5(3x-9)=2(4-4x)+14 | | 9=90 |