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Simplifying 6(7x + -2) = 8(4x + 1) Reorder the terms: 6(-2 + 7x) = 8(4x + 1) (-2 * 6 + 7x * 6) = 8(4x + 1) (-12 + 42x) = 8(4x + 1) Reorder the terms: -12 + 42x = 8(1 + 4x) -12 + 42x = (1 * 8 + 4x * 8) -12 + 42x = (8 + 32x) Solving -12 + 42x = 8 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -12 + 42x + -32x = 8 + 32x + -32x Combine like terms: 42x + -32x = 10x -12 + 10x = 8 + 32x + -32x Combine like terms: 32x + -32x = 0 -12 + 10x = 8 + 0 -12 + 10x = 8 Add '12' to each side of the equation. -12 + 12 + 10x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 8 + 12 10x = 8 + 12 Combine like terms: 8 + 12 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
| 3+x=4x+12 | | 2(-3-3x)=-3-6 | | e^6x=27forx | | 2000t=3.50+150t+225 | | 12th+24y= | | -11=b/3-8 | | (2(x+3)/3)=3x-3 | | 17-5(2x-9)=(-6x+10)+4 | | 6(2x-5)+2(4-3x)=2 | | 6=-3+n+2n | | (5(x+5)/6)=2x-5 | | 2x-8=6x-32 | | 0.24(18)+0.04x=0.12(12+x) | | 62+7x-8=180 | | -4(6x-12)=240 | | 5x+25=5x-25 | | 18=-2p+8 | | 4/(4x-6)=7/(4x-2) | | -42=-7(8n-2) | | 1/y=1/64-1 | | 0.12(6)+0.03x=0.06 | | 2x+(5/4)=3x-(5/4) | | 29-b=8 | | 4x+6-5x=0 | | 5=m/4+10 | | 7.8n=5.5n | | 150x+225=3.50x-2000 | | y+2x=y+10 | | 15(7)+20(t)=245 | | 7-(7x/3)=12 | | -2+7-y+4=-4 | | 6-3-5+2(-3-2)= |