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Simplifying 3(2x + 1) + 4(x + -2) = 3(3x + 1) Reorder the terms: 3(1 + 2x) + 4(x + -2) = 3(3x + 1) (1 * 3 + 2x * 3) + 4(x + -2) = 3(3x + 1) (3 + 6x) + 4(x + -2) = 3(3x + 1) Reorder the terms: 3 + 6x + 4(-2 + x) = 3(3x + 1) 3 + 6x + (-2 * 4 + x * 4) = 3(3x + 1) 3 + 6x + (-8 + 4x) = 3(3x + 1) Reorder the terms: 3 + -8 + 6x + 4x = 3(3x + 1) Combine like terms: 3 + -8 = -5 -5 + 6x + 4x = 3(3x + 1) Combine like terms: 6x + 4x = 10x -5 + 10x = 3(3x + 1) Reorder the terms: -5 + 10x = 3(1 + 3x) -5 + 10x = (1 * 3 + 3x * 3) -5 + 10x = (3 + 9x) Solving -5 + 10x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -5 + 10x + -9x = 3 + 9x + -9x Combine like terms: 10x + -9x = 1x -5 + 1x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + 1x = 3 + 0 -5 + 1x = 3 Add '5' to each side of the equation. -5 + 5 + 1x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 3 + 5 1x = 3 + 5 Combine like terms: 3 + 5 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
| 6d+7d=39 | | 6x+5=3x-4 | | 3x+5x=40 | | 7(2x-12)=77x | | 9x+4+x=54 | | 8(3y+4)+(-40y)= | | 7x+6x=52 | | 0.5x+2.5=1.5 | | 11x+(-4x)=56 | | -6x^2-4x+1=0 | | 3u^2=6u+1 | | 3a-3=1-7a | | 40-20+(-18)+15= | | 5(x-2)-3(x+2)=2x-7 | | (5x-5)(x+3)=0 | | -13=(5n-2)(n-5) | | (3n-11)(n+1)=0 | | 2(4x-2)=16x | | 16d+c-9=39 | | 9x-2-8x+5=15+4 | | -9x=2 | | 3x+8=-70-10x | | -3(x+2)=2x | | (16x^2)+32x+16=81 | | 4(x+3)=6 | | 3a-14=4 | | -56n+9=64 | | 4a-6b=18-b | | 23=(x-4)+(3x-7)+2(2x+5) | | 10+6x=45-x | | 3a+4=a+20 | | 4x+35=12x-45 |