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Simplifying 0.5(2x + -2) + 0.5(4x + -4) = 0.5(8x + -8) + -0.5(10x + -10) + -12 Reorder the terms: 0.5(-2 + 2x) + 0.5(4x + -4) = 0.5(8x + -8) + -0.5(10x + -10) + -12 (-2 * 0.5 + 2x * 0.5) + 0.5(4x + -4) = 0.5(8x + -8) + -0.5(10x + -10) + -12 (-1 + 1x) + 0.5(4x + -4) = 0.5(8x + -8) + -0.5(10x + -10) + -12 Reorder the terms: -1 + 1x + 0.5(-4 + 4x) = 0.5(8x + -8) + -0.5(10x + -10) + -12 -1 + 1x + (-4 * 0.5 + 4x * 0.5) = 0.5(8x + -8) + -0.5(10x + -10) + -12 -1 + 1x + (-2 + 2x) = 0.5(8x + -8) + -0.5(10x + -10) + -12 Reorder the terms: -1 + -2 + 1x + 2x = 0.5(8x + -8) + -0.5(10x + -10) + -12 Combine like terms: -1 + -2 = -3 -3 + 1x + 2x = 0.5(8x + -8) + -0.5(10x + -10) + -12 Combine like terms: 1x + 2x = 3x -3 + 3x = 0.5(8x + -8) + -0.5(10x + -10) + -12 Reorder the terms: -3 + 3x = 0.5(-8 + 8x) + -0.5(10x + -10) + -12 -3 + 3x = (-8 * 0.5 + 8x * 0.5) + -0.5(10x + -10) + -12 -3 + 3x = (-4 + 4x) + -0.5(10x + -10) + -12 Reorder the terms: -3 + 3x = -4 + 4x + -0.5(-10 + 10x) + -12 -3 + 3x = -4 + 4x + (-10 * -0.5 + 10x * -0.5) + -12 -3 + 3x = -4 + 4x + (5 + -5x) + -12 Reorder the terms: -3 + 3x = -4 + 5 + -12 + 4x + -5x Combine like terms: -4 + 5 = 1 -3 + 3x = 1 + -12 + 4x + -5x Combine like terms: 1 + -12 = -11 -3 + 3x = -11 + 4x + -5x Combine like terms: 4x + -5x = -1x -3 + 3x = -11 + -1x Solving -3 + 3x = -11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + 3x + x = -11 + -1x + x Combine like terms: 3x + x = 4x -3 + 4x = -11 + -1x + x Combine like terms: -1x + x = 0 -3 + 4x = -11 + 0 -3 + 4x = -11 Add '3' to each side of the equation. -3 + 3 + 4x = -11 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = -11 + 3 4x = -11 + 3 Combine like terms: -11 + 3 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
| 8h=6k-14 | | 9(x+3)=3(x+21) | | y-7=1/6x-6 | | 5-5/9 | | 3y-10+7y=180 | | .25x^2+3.5+12=0 | | -4ab(5a-9b-8)= | | 4z=-49 | | -4x-5=7-2x | | 1/8/n=3/72 | | 0.02x+0.01(500-x)=88 | | 5(x-3)-2(5x+4)=7(3x-2)+(4+8)+43 | | 3x-6=49-8x | | (9x-5)=(10x-19) | | 3x-4x=-9 | | x=0.33*(x+20) | | 15x-45=30 | | -2(v-4)=-9v-41 | | 7n-8m=4-m | | x=0.33x+6.6 | | 54=-6(-6-3z) | | -2v(v-4)=-9v-41 | | 1/4/n=12/48 | | (2/3)(9/5)(5/4) | | 7x-2=3/2 | | 2v^2=7v-4 | | 7x-24+5x-18=180 | | (x^2+y^2+x)*dx+xy*dy=0 | | x-7=2x-13 | | (2/3)(5/8)(5/4) | | -9(2x-9y-4)= | | 3/4=12/48 |