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Simplifying 4(x + -2) + -1(2x + 1) + 5(3x + -2) = 3(4x + 2) + -1(x + -1) + 4x + -2 Reorder the terms: 4(-2 + x) + -1(2x + 1) + 5(3x + -2) = 3(4x + 2) + -1(x + -1) + 4x + -2 (-2 * 4 + x * 4) + -1(2x + 1) + 5(3x + -2) = 3(4x + 2) + -1(x + -1) + 4x + -2 (-8 + 4x) + -1(2x + 1) + 5(3x + -2) = 3(4x + 2) + -1(x + -1) + 4x + -2 Reorder the terms: -8 + 4x + -1(1 + 2x) + 5(3x + -2) = 3(4x + 2) + -1(x + -1) + 4x + -2 -8 + 4x + (1 * -1 + 2x * -1) + 5(3x + -2) = 3(4x + 2) + -1(x + -1) + 4x + -2 -8 + 4x + (-1 + -2x) + 5(3x + -2) = 3(4x + 2) + -1(x + -1) + 4x + -2 Reorder the terms: -8 + 4x + -1 + -2x + 5(-2 + 3x) = 3(4x + 2) + -1(x + -1) + 4x + -2 -8 + 4x + -1 + -2x + (-2 * 5 + 3x * 5) = 3(4x + 2) + -1(x + -1) + 4x + -2 -8 + 4x + -1 + -2x + (-10 + 15x) = 3(4x + 2) + -1(x + -1) + 4x + -2 Reorder the terms: -8 + -1 + -10 + 4x + -2x + 15x = 3(4x + 2) + -1(x + -1) + 4x + -2 Combine like terms: -8 + -1 = -9 -9 + -10 + 4x + -2x + 15x = 3(4x + 2) + -1(x + -1) + 4x + -2 Combine like terms: -9 + -10 = -19 -19 + 4x + -2x + 15x = 3(4x + 2) + -1(x + -1) + 4x + -2 Combine like terms: 4x + -2x = 2x -19 + 2x + 15x = 3(4x + 2) + -1(x + -1) + 4x + -2 Combine like terms: 2x + 15x = 17x -19 + 17x = 3(4x + 2) + -1(x + -1) + 4x + -2 Reorder the terms: -19 + 17x = 3(2 + 4x) + -1(x + -1) + 4x + -2 -19 + 17x = (2 * 3 + 4x * 3) + -1(x + -1) + 4x + -2 -19 + 17x = (6 + 12x) + -1(x + -1) + 4x + -2 Reorder the terms: -19 + 17x = 6 + 12x + -1(-1 + x) + 4x + -2 -19 + 17x = 6 + 12x + (-1 * -1 + x * -1) + 4x + -2 -19 + 17x = 6 + 12x + (1 + -1x) + 4x + -2 Reorder the terms: -19 + 17x = 6 + 1 + -2 + 12x + -1x + 4x Combine like terms: 6 + 1 = 7 -19 + 17x = 7 + -2 + 12x + -1x + 4x Combine like terms: 7 + -2 = 5 -19 + 17x = 5 + 12x + -1x + 4x Combine like terms: 12x + -1x = 11x -19 + 17x = 5 + 11x + 4x Combine like terms: 11x + 4x = 15x -19 + 17x = 5 + 15x Solving -19 + 17x = 5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -19 + 17x + -15x = 5 + 15x + -15x Combine like terms: 17x + -15x = 2x -19 + 2x = 5 + 15x + -15x Combine like terms: 15x + -15x = 0 -19 + 2x = 5 + 0 -19 + 2x = 5 Add '19' to each side of the equation. -19 + 19 + 2x = 5 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = 5 + 19 2x = 5 + 19 Combine like terms: 5 + 19 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
| 4+-1=5(t+2) | | 4x^3-20x^2-24x= | | 8y+8=14y+8 | | 1.6x-3=-8.4x-12 | | -12x=24 | | 120993x+33322=2222-333 | | (x-6)2=16 | | 18a^2-3a-10= | | z^2-2z-12=0 | | t^2+4t+1= | | 10t^2-t-9=0 | | 5x+1.4=6.9 | | -2(1-3x)=5(1-x)-3x | | -4.2=4.8-3y | | 3(n+2)=5(n-10) | | -2=-14-5x | | 4+4n=12 | | x^2-10x+32=0 | | 3(x-1)-6=0 | | -w+(-0.2)=1.2-0.3w | | 42-12=5(x-1) | | 72+5y-31=16y-13-2y | | 2(x-1)=6(x+1) | | 5m+6m-2m=6 | | w^2-6w+9= | | 18-6x=7+5x | | 7x-8=6x+3 | | 7x+14-6x=-8-13 | | x+x-3x=12 | | 45=7t-16t | | 8-5(2x-5)=-2 | | 5x=11-(-19) |