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Simplifying 3(5x + 2) + -1(9x + -8) = 7(x + -4) + (x + 12) Reorder the terms: 3(2 + 5x) + -1(9x + -8) = 7(x + -4) + (x + 12) (2 * 3 + 5x * 3) + -1(9x + -8) = 7(x + -4) + (x + 12) (6 + 15x) + -1(9x + -8) = 7(x + -4) + (x + 12) Reorder the terms: 6 + 15x + -1(-8 + 9x) = 7(x + -4) + (x + 12) 6 + 15x + (-8 * -1 + 9x * -1) = 7(x + -4) + (x + 12) 6 + 15x + (8 + -9x) = 7(x + -4) + (x + 12) Reorder the terms: 6 + 8 + 15x + -9x = 7(x + -4) + (x + 12) Combine like terms: 6 + 8 = 14 14 + 15x + -9x = 7(x + -4) + (x + 12) Combine like terms: 15x + -9x = 6x 14 + 6x = 7(x + -4) + (x + 12) Reorder the terms: 14 + 6x = 7(-4 + x) + (x + 12) 14 + 6x = (-4 * 7 + x * 7) + (x + 12) 14 + 6x = (-28 + 7x) + (x + 12) Reorder the terms: 14 + 6x = -28 + 7x + (12 + x) Remove parenthesis around (12 + x) 14 + 6x = -28 + 7x + 12 + x Reorder the terms: 14 + 6x = -28 + 12 + 7x + x Combine like terms: -28 + 12 = -16 14 + 6x = -16 + 7x + x Combine like terms: 7x + x = 8x 14 + 6x = -16 + 8x Solving 14 + 6x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 6x + -8x = -16 + 8x + -8x Combine like terms: 6x + -8x = -2x 14 + -2x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -2x = -16 + 0 14 + -2x = -16 Add '-14' to each side of the equation. 14 + -14 + -2x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = -16 + -14 -2x = -16 + -14 Combine like terms: -16 + -14 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
| 6+2n-6=14-6 | | 6x-2=43 | | 4(x-2)+5x+3+y=180 | | x^4-9x^3-5x^2-3x+17=0 | | 100-5x=13x+24 | | 5x+33=13x-55 | | 10-10x=86-38x | | 6x+14=-46-9x | | (y-4)(y-9)=0 | | (y-4)(y-9)= | | (x-4)(x+4)=4 | | (x-4)(x-4)=4 | | 0.5*[(x-4)(x-4)]=8 | | 2*5x^2=30x | | mx^2-(2m-1)x+m+1=2 | | y=2-3x+5 | | 10-9x=162-37x | | x^2+x+11=0 | | v+93=8 | | 4x+123=9x-7 | | 177-7x=29x+21 | | 11-8x=181-43x | | 4x+11=-3-8x | | 85-3x=3x+13 | | 5x+35=14x-46 | | 9x+8=44 | | 96-6x=12x+18 | | 6-9x=206-44x | | a^3-6a^2+13a-4=0 | | x-2=3x+5 | | 4n-5=3n+1 | | [4x-7]=5 |