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Simplifying 0.3(x + -6) + 0.5x = 0.6(x + 6) Reorder the terms: 0.3(-6 + x) + 0.5x = 0.6(x + 6) (-6 * 0.3 + x * 0.3) + 0.5x = 0.6(x + 6) (-1.8 + 0.3x) + 0.5x = 0.6(x + 6) Combine like terms: 0.3x + 0.5x = 0.8x -1.8 + 0.8x = 0.6(x + 6) Reorder the terms: -1.8 + 0.8x = 0.6(6 + x) -1.8 + 0.8x = (6 * 0.6 + x * 0.6) -1.8 + 0.8x = (3.6 + 0.6x) Solving -1.8 + 0.8x = 3.6 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -1.8 + 0.8x + -0.6x = 3.6 + 0.6x + -0.6x Combine like terms: 0.8x + -0.6x = 0.2x -1.8 + 0.2x = 3.6 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -1.8 + 0.2x = 3.6 + 0.0 -1.8 + 0.2x = 3.6 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.2x = 3.6 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.2x = 3.6 + 1.8 0.2x = 3.6 + 1.8 Combine like terms: 3.6 + 1.8 = 5.4 0.2x = 5.4 Divide each side by '0.2'. x = 27 Simplifying x = 27
| 8x+6=10x+4 | | (5x-8)(7x+3)=0 | | 5x^2+20xy-60y^2=0 | | 14-8x=2-11x | | -.4(.5z+4)=3.2 | | 8x+7=10x+4 | | 2-.2j=-.2 | | m+m+m=60 | | 6m^2-19m=20 | | w+16/w=w/16 | | C/4-3=21 | | w^4-1296= | | -.1=-9+k | | 1.2+2.6g=-.1 | | 140/16 | | -7(t+1)-t-10=-8(t+4)+15 | | 48/100=55.2/x | | -2.3=1.5g-.9 | | -2x+x+8x= | | 9a-14-a= | | -3x+6y=27 | | 37+4y-9=16y-14-5y | | 4x^3y-49xy^3=0 | | 7x+9=13x+4 | | 8x^2=2x+21 | | 8x+4-7x=10 | | 5x+7(x+2)=3(6x-9)+5 | | 8x+2=4x+3 | | 4x+9=3+-1(x-2) | | (2x^2)(x-4)= | | 6(x-4)+8x=7(2x+5)-11 | | 2s+s+15+s=119 |