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Simplifying 2x + 4 = 3(x + 1) + -5(x + 2) Reorder the terms: 4 + 2x = 3(x + 1) + -5(x + 2) Reorder the terms: 4 + 2x = 3(1 + x) + -5(x + 2) 4 + 2x = (1 * 3 + x * 3) + -5(x + 2) 4 + 2x = (3 + 3x) + -5(x + 2) Reorder the terms: 4 + 2x = 3 + 3x + -5(2 + x) 4 + 2x = 3 + 3x + (2 * -5 + x * -5) 4 + 2x = 3 + 3x + (-10 + -5x) Reorder the terms: 4 + 2x = 3 + -10 + 3x + -5x Combine like terms: 3 + -10 = -7 4 + 2x = -7 + 3x + -5x Combine like terms: 3x + -5x = -2x 4 + 2x = -7 + -2x Solving 4 + 2x = -7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 2x + 2x = -7 + -2x + 2x Combine like terms: 2x + 2x = 4x 4 + 4x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 4x = -7 + 0 4 + 4x = -7 Add '-4' to each side of the equation. 4 + -4 + 4x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = -7 + -4 4x = -7 + -4 Combine like terms: -7 + -4 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75
| 10x-33=7x+24 | | 10+7q=11+6q | | 2r-9s=-11 | | a=3/4(12) | | d+3.95+.25d=7.7 | | 10-y-25=5 | | 10x-12=4x+22 | | (a-32)0.56=4 | | y=12-0.03 | | 132-2x=25x+18 | | x+28.3=56 | | 24-(x+8)=x-2 | | -10x-4y=-18 | | 184-4y/8+18=37 | | 11=5+3k | | 17-3p=3-5p | | 5x+95/6=10 | | x-8/9=x-25/18 | | b-2/13=b-35/52 | | 3x+-1=2x+11 | | 9x+0.2=1.2 | | 3d-31/5=-2 | | n+3/4=n+51/20 | | c/5+3=c+147/35 | | 8n-17=-(3n-8) | | a-12=-8 | | 6z-108/15=-10 | | 6-47+9/h=8 | | 78/8h+98=8h | | h+9=49-h/87-9 | | 5x+20=3x+23 | | h+9=49-h/87 |