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Simplifying 0.4(x + -7) = 0.8(x + -5) Reorder the terms: 0.4(-7 + x) = 0.8(x + -5) (-7 * 0.4 + x * 0.4) = 0.8(x + -5) (-2.8 + 0.4x) = 0.8(x + -5) Reorder the terms: -2.8 + 0.4x = 0.8(-5 + x) -2.8 + 0.4x = (-5 * 0.8 + x * 0.8) -2.8 + 0.4x = (-4 + 0.8x) Solving -2.8 + 0.4x = -4 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -2.8 + 0.4x + -0.8x = -4 + 0.8x + -0.8x Combine like terms: 0.4x + -0.8x = -0.4x -2.8 + -0.4x = -4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -2.8 + -0.4x = -4 + 0.0 -2.8 + -0.4x = -4 Add '2.8' to each side of the equation. -2.8 + 2.8 + -0.4x = -4 + 2.8 Combine like terms: -2.8 + 2.8 = 0.0 0.0 + -0.4x = -4 + 2.8 -0.4x = -4 + 2.8 Combine like terms: -4 + 2.8 = -1.2 -0.4x = -1.2 Divide each side by '-0.4'. x = 3 Simplifying x = 3
| 8(q+6)+4q=12(q-6)+106 | | abs(4x-2)=abs(6x-4) | | 3x+(-6)=9x | | 3(5x+6)=10-(x+4) | | 2y+7=3y-8 | | 3y-8=7y-11 | | 3y-8+7y-11=2y+7 | | 5(x+5)=-5x+7 | | 8(x+10)=-7x+8 | | -4x=-54+5x | | 5(x+2)=6x+8 | | -6+8x=-4x | | -x^2+10x=-22 | | 7(x+5)=7x-70 | | -8+11y=-3y | | 4(y+7)=5(y-2) | | -7+7w=-2w | | -7+7w=-2 | | 5x+2(x-3)=2x-(2x-1) | | 3(n-1)=9+n | | 3(n-1)=9+1 | | -3x=16+5x | | 0.07t+0.11(t+400)=188 | | 0.07+0.11(t+400)=188 | | 6x^2=5-4x | | 0.07t-0.11(t+400)=188 | | 5(x+4)+10=8x-3(x-3) | | 2m-17=17 | | 4x-3(2x-5)=20 | | 4(y+4)+3(y-2)=24 | | 0.4x+0.6(20-x)=9.8 | | -2x+2=3 |