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Simplifying 5(x + -3) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x Reorder the terms: 5(-3 + x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x (-3 * 5 + x * 5) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x (-15 + 5x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x -15 + 5x + (2 * 7 + -1x * 7) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x -15 + 5x + (14 + -7x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x Reorder the terms: -15 + 5x + 14 + -7x + -4(7 + 2x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x -15 + 5x + 14 + -7x + (7 * -4 + 2x * -4) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x -15 + 5x + 14 + -7x + (-28 + -8x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x Reorder the terms: -15 + 14 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x Combine like terms: -15 + 14 = -1 -1 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x Combine like terms: -1 + -28 = -29 -29 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x Combine like terms: -29 + 2 = -27 -27 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x Combine like terms: 5x + -7x = -2x -27 + -2x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x Combine like terms: -2x + -8x = -10x -27 + -10x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x Combine like terms: -10x + -3x = -13x -27 + -13x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x Reorder the terms: -27 + -13x = 11 + -8(-7 + x) + 4x + -1(6 + -5x) + 8 + -2x -27 + -13x = 11 + (-7 * -8 + x * -8) + 4x + -1(6 + -5x) + 8 + -2x -27 + -13x = 11 + (56 + -8x) + 4x + -1(6 + -5x) + 8 + -2x -27 + -13x = 11 + 56 + -8x + 4x + (6 * -1 + -5x * -1) + 8 + -2x -27 + -13x = 11 + 56 + -8x + 4x + (-6 + 5x) + 8 + -2x Reorder the terms: -27 + -13x = 11 + 56 + -6 + 8 + -8x + 4x + 5x + -2x Combine like terms: 11 + 56 = 67 -27 + -13x = 67 + -6 + 8 + -8x + 4x + 5x + -2x Combine like terms: 67 + -6 = 61 -27 + -13x = 61 + 8 + -8x + 4x + 5x + -2x Combine like terms: 61 + 8 = 69 -27 + -13x = 69 + -8x + 4x + 5x + -2x Combine like terms: -8x + 4x = -4x -27 + -13x = 69 + -4x + 5x + -2x Combine like terms: -4x + 5x = 1x -27 + -13x = 69 + 1x + -2x Combine like terms: 1x + -2x = -1x -27 + -13x = 69 + -1x Solving -27 + -13x = 69 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -27 + -13x + x = 69 + -1x + x Combine like terms: -13x + x = -12x -27 + -12x = 69 + -1x + x Combine like terms: -1x + x = 0 -27 + -12x = 69 + 0 -27 + -12x = 69 Add '27' to each side of the equation. -27 + 27 + -12x = 69 + 27 Combine like terms: -27 + 27 = 0 0 + -12x = 69 + 27 -12x = 69 + 27 Combine like terms: 69 + 27 = 96 -12x = 96 Divide each side by '-12'. x = -8 Simplifying x = -8
| 9-16m=-2m | | x+(x+2)+(x-4)=16 | | -12x-3y=15 | | -2x+12=8 | | 12=x+4-3x | | N/-4=-6 | | 5x-2x+1=10 | | -4/11+(-7/22) | | 7-8x=83-2x | | 2=4x-6 | | x-2=4x-6 | | 3x+5-2x=-3+x | | 15(z-2)=30 | | 4x+14=-12-9 | | 2+3(2+3)2+3= | | 6y-2y+8=-3y+5 | | 12y-48=0 | | 3(x+14)=16 | | W-2+4w=2w+5 | | -8x-4y+6=0 | | 12x^-1/2=0 | | 4x+8=7x+41 | | 2x+9=3x-21 | | 2a+3=1.5+(6+4a) | | (X+2X)(2B-5X)= | | d^2+32=12d | | .03(2m+7)=.06(5+m)-.09 | | 2t^2+11t+5=0 | | 2B-5X= | | -2(4-h)-7=5 | | 9s-2-6s=1 | | 135=24X |