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Simplifying 6.9(3.5x + -2.7) = 2.3(2.1x + 17.1) Reorder the terms: 6.9(-2.7 + 3.5x) = 2.3(2.1x + 17.1) (-2.7 * 6.9 + 3.5x * 6.9) = 2.3(2.1x + 17.1) (-18.63 + 24.15x) = 2.3(2.1x + 17.1) Reorder the terms: -18.63 + 24.15x = 2.3(17.1 + 2.1x) -18.63 + 24.15x = (17.1 * 2.3 + 2.1x * 2.3) -18.63 + 24.15x = (39.33 + 4.83x) Solving -18.63 + 24.15x = 39.33 + 4.83x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.83x' to each side of the equation. -18.63 + 24.15x + -4.83x = 39.33 + 4.83x + -4.83x Combine like terms: 24.15x + -4.83x = 19.32x -18.63 + 19.32x = 39.33 + 4.83x + -4.83x Combine like terms: 4.83x + -4.83x = 0.00 -18.63 + 19.32x = 39.33 + 0.00 -18.63 + 19.32x = 39.33 Add '18.63' to each side of the equation. -18.63 + 18.63 + 19.32x = 39.33 + 18.63 Combine like terms: -18.63 + 18.63 = 0.00 0.00 + 19.32x = 39.33 + 18.63 19.32x = 39.33 + 18.63 Combine like terms: 39.33 + 18.63 = 57.96 19.32x = 57.96 Divide each side by '19.32'. x = 3 Simplifying x = 3
| m+5/6=11/12 | | 16/7=n-14/3-4/3 | | 3/5d+1/3d=15 | | 16x^2-625=0 | | 3m^2-36m+96=0 | | p(-1)=10(-1)-7 | | 7a*a+20a+12=0 | | 3m^2-36+96=0 | | 6(2x)=24 | | 1/4-q-21/3q | | p(0)=10(0)-7 | | 1=c/6-6 | | w^2+8w-105=0 | | 2p*p-3p-14=0 | | x(x-5)(2x-6)=0 | | -7(7x-4)+5=-49x+33 | | 5x-8+7x=40 | | (x+2)(x+20)=1 | | 27-3*9*-4-5= | | P(-3)=10(-3)-7 | | -8y^3-3y^2= | | -11+10=w | | -8y^3-3yx^2= | | -((4a)/(a+4))=12/(a-16) | | 8x+32-2+9=-2x+8-x | | -((3a)/(a+12))=9/(a-18) | | 3/69 | | 3/9 | | a-24/11=49/22-13/11 | | (y-3)(y+6)=(y-5)(y-5) | | 8x-11z=3z+42 | | 12-7u=7+5(u+2) |