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Simplifying 7(x + -1) = 2(x + 3) + 4(x + -7) Reorder the terms: 7(-1 + x) = 2(x + 3) + 4(x + -7) (-1 * 7 + x * 7) = 2(x + 3) + 4(x + -7) (-7 + 7x) = 2(x + 3) + 4(x + -7) Reorder the terms: -7 + 7x = 2(3 + x) + 4(x + -7) -7 + 7x = (3 * 2 + x * 2) + 4(x + -7) -7 + 7x = (6 + 2x) + 4(x + -7) Reorder the terms: -7 + 7x = 6 + 2x + 4(-7 + x) -7 + 7x = 6 + 2x + (-7 * 4 + x * 4) -7 + 7x = 6 + 2x + (-28 + 4x) Reorder the terms: -7 + 7x = 6 + -28 + 2x + 4x Combine like terms: 6 + -28 = -22 -7 + 7x = -22 + 2x + 4x Combine like terms: 2x + 4x = 6x -7 + 7x = -22 + 6x Solving -7 + 7x = -22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 7x + -6x = -22 + 6x + -6x Combine like terms: 7x + -6x = 1x -7 + 1x = -22 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 1x = -22 + 0 -7 + 1x = -22 Add '7' to each side of the equation. -7 + 7 + 1x = -22 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -22 + 7 1x = -22 + 7 Combine like terms: -22 + 7 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
| a+28=24a | | a+29=24a | | 6/74/5= | | 2w-7(3w+1)=5(5-3w) | | 9x^2-30x+25=19 | | 6x+39=11 | | 4y^2=32 | | x^3-6*x^2+9*x-10=0 | | v-27=1+v | | 1/2(25-14)+2= | | 1/2(2-5-14)+2= | | 4(5+4)+3(5-3)= | | x+6=99-x | | x+6=99 | | 2/5(6+14)+32= | | (4x^4+4x^3+x^2)-3(2x^2+x)+2=0 | | 6-5(3y+2)=26 | | x+(x+7)=35 | | 9+d=d+9 | | (4x^4+4x^3+x^2)-6x^2-3x+2=0 | | 8=5y-2 | | 4y+7=9 | | (2x-4)(3x+8)=16 | | 12x-4y=7 | | 5v+3-9v=9 | | 5x+2y=36 | | 5y+3-9v=9 | | x^2-3x+15=0 | | x^2-5=10 | | 5x^2-7x+3=0 | | -6x-15=9 | | x^2+mx+2=0 |