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Simplifying 7(3x + 1) + 8(2x + -3) = 4(3x + -1) + -7(x + -4) Reorder the terms: 7(1 + 3x) + 8(2x + -3) = 4(3x + -1) + -7(x + -4) (1 * 7 + 3x * 7) + 8(2x + -3) = 4(3x + -1) + -7(x + -4) (7 + 21x) + 8(2x + -3) = 4(3x + -1) + -7(x + -4) Reorder the terms: 7 + 21x + 8(-3 + 2x) = 4(3x + -1) + -7(x + -4) 7 + 21x + (-3 * 8 + 2x * 8) = 4(3x + -1) + -7(x + -4) 7 + 21x + (-24 + 16x) = 4(3x + -1) + -7(x + -4) Reorder the terms: 7 + -24 + 21x + 16x = 4(3x + -1) + -7(x + -4) Combine like terms: 7 + -24 = -17 -17 + 21x + 16x = 4(3x + -1) + -7(x + -4) Combine like terms: 21x + 16x = 37x -17 + 37x = 4(3x + -1) + -7(x + -4) Reorder the terms: -17 + 37x = 4(-1 + 3x) + -7(x + -4) -17 + 37x = (-1 * 4 + 3x * 4) + -7(x + -4) -17 + 37x = (-4 + 12x) + -7(x + -4) Reorder the terms: -17 + 37x = -4 + 12x + -7(-4 + x) -17 + 37x = -4 + 12x + (-4 * -7 + x * -7) -17 + 37x = -4 + 12x + (28 + -7x) Reorder the terms: -17 + 37x = -4 + 28 + 12x + -7x Combine like terms: -4 + 28 = 24 -17 + 37x = 24 + 12x + -7x Combine like terms: 12x + -7x = 5x -17 + 37x = 24 + 5x Solving -17 + 37x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -17 + 37x + -5x = 24 + 5x + -5x Combine like terms: 37x + -5x = 32x -17 + 32x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 -17 + 32x = 24 + 0 -17 + 32x = 24 Add '17' to each side of the equation. -17 + 17 + 32x = 24 + 17 Combine like terms: -17 + 17 = 0 0 + 32x = 24 + 17 32x = 24 + 17 Combine like terms: 24 + 17 = 41 32x = 41 Divide each side by '32'. x = 1.28125 Simplifying x = 1.28125
| x-2+4=8 | | x+8-4x=2+6x | | 6x+26=15x-55 | | 5+4*7=n | | 5(2-3x)+18=2(5-2x)-5 | | 3x-9+5-2x=12+2x | | 3x+5-2x=12+2x | | 5(x+6)-4(x+3)=8 | | 3k-4=6 | | 10x+12=8+5x | | -4g+9=29 | | x+10+x=2x | | -7h+8=-13 | | 5f-5=20 | | 8x+10y=70 | | 4(2w+5)=60 | | 1.7x+3.4+2.6x+7.8= | | 1.7+3.4-2.6x+7.8= | | -7x+3=6x-2(x-7) | | 1.7x+3.4-2.6+7.8= | | 4c+ba+c-3c+ab-c= | | -0.6(7a)= | | 3=4x-9 | | mn+3nm+2c+3mn+4c= | | N^2-12N-36=0 | | 5n-2n+m+m+2c= | | 4a-a+3b+b= | | a+2a+3c+5+c= | | a+(-2+a)= | | 4-4z=-14+2z | | 5d+8+3d+4=28 | | -10(2)+y=4 |