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Simplifying 2[3x + -1(4x + -6)] = 5(x + -6) Reorder the terms: 2[3x + -1(-6 + 4x)] = 5(x + -6) 2[3x + (-6 * -1 + 4x * -1)] = 5(x + -6) 2[3x + (6 + -4x)] = 5(x + -6) Reorder the terms: 2[6 + 3x + -4x] = 5(x + -6) Combine like terms: 3x + -4x = -1x 2[6 + -1x] = 5(x + -6) [6 * 2 + -1x * 2] = 5(x + -6) [12 + -2x] = 5(x + -6) Reorder the terms: 12 + -2x = 5(-6 + x) 12 + -2x = (-6 * 5 + x * 5) 12 + -2x = (-30 + 5x) Solving 12 + -2x = -30 + 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. 12 + -2x + -5x = -30 + 5x + -5x Combine like terms: -2x + -5x = -7x 12 + -7x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -7x = -30 + 0 12 + -7x = -30 Add '-12' to each side of the equation. 12 + -12 + -7x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -30 + -12 -7x = -30 + -12 Combine like terms: -30 + -12 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
| 6m(2)=18-8m | | b^2+9(b)+18=0 | | 3(2x-1)=2(x+3) | | 2x^2-12x-54=0 | | -5(3y+8)= | | 2y^2-6(y)-20=0 | | 8x=3x+20 | | 3x^2+6x=-4 | | 2n(3n+4)-19=n(6n-2)+31 | | 3x^2+136=4x^2+9x | | 2k-3k=20 | | 13x+5y=30 | | 50x-600=33.33 | | 7x+8=12x+16 | | 4b+8=7b+(-1) | | x^2+3x=-25 | | 5(x-2)-14x=x-5 | | 50(x-600)=.66 | | 6=27x-6y | | n+-3=10 | | (5x-6(500-x))=8x | | de+9df+3d+8=-3e-9 | | 78+5x=50+7x | | -p-1=p-21 | | 13m=143 | | 5.6+1.9n=0.66 | | 0=6x^5-10x^3 | | 20n-28=10n+2 | | 10c=80 | | 5(a+3)-a=-(4a-6)+1 | | x^2+10x-8=0 | | 5m=25 |