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Simplifying 5(x + 4) + -3(x + 6) = 7(x + 1) Reorder the terms: 5(4 + x) + -3(x + 6) = 7(x + 1) (4 * 5 + x * 5) + -3(x + 6) = 7(x + 1) (20 + 5x) + -3(x + 6) = 7(x + 1) Reorder the terms: 20 + 5x + -3(6 + x) = 7(x + 1) 20 + 5x + (6 * -3 + x * -3) = 7(x + 1) 20 + 5x + (-18 + -3x) = 7(x + 1) Reorder the terms: 20 + -18 + 5x + -3x = 7(x + 1) Combine like terms: 20 + -18 = 2 2 + 5x + -3x = 7(x + 1) Combine like terms: 5x + -3x = 2x 2 + 2x = 7(x + 1) Reorder the terms: 2 + 2x = 7(1 + x) 2 + 2x = (1 * 7 + x * 7) 2 + 2x = (7 + 7x) Solving 2 + 2x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 2x + -7x = 7 + 7x + -7x Combine like terms: 2x + -7x = -5x 2 + -5x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -5x = 7 + 0 2 + -5x = 7 Add '-2' to each side of the equation. 2 + -2 + -5x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 7 + -2 -5x = 7 + -2 Combine like terms: 7 + -2 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
| 8q-q+3=4q+3q+3 | | x^2=6x-19 | | -6(m-6)+m=-5m+40 | | 0=2.2x^2+6x-216 | | -(5y+1)-(4y-8)=1 | | -5x^2=-x+10 | | F(0)f(x)=5x^2+12x-40 | | -25-v=-3(2v+5) | | 9/7-17/7 | | 39/6=156/t | | x/8+9x/4=x/16 | | 10=7x+6-5x | | -36+5p=2(-3p+4) | | (10/5x)+(1/2x)=-1/10 | | 7x^2=14x+7 | | 1/7(x+4)=6 | | -8(7+b)=-40+8b | | 1/2(b-5)-3/4(2-3b)=3/2 | | y+9=.667(x+10) | | -5(n-2)=-26-3n | | y+9=.666(x+10) | | 2(-4x-8)=-16-2x | | 3x/11+5/13=2x/13-4/13 | | -2/9-2-5 | | z+2=-15z+50 | | 7x-3*[7(x+3)-5(x+4)]=5(x+1) | | 1/6(2x-4)=3 | | 1/7x=-6 | | -30-7p=7(-6p+5)+5 | | -8-2n=-2(n+4) | | x-.25(4704+x)=735x | | 12x-5=9x^2 |