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Simplifying 3(3x + -5) + 2(x + 7) = 5(2x + 2) + -2(x + 4) Reorder the terms: 3(-5 + 3x) + 2(x + 7) = 5(2x + 2) + -2(x + 4) (-5 * 3 + 3x * 3) + 2(x + 7) = 5(2x + 2) + -2(x + 4) (-15 + 9x) + 2(x + 7) = 5(2x + 2) + -2(x + 4) Reorder the terms: -15 + 9x + 2(7 + x) = 5(2x + 2) + -2(x + 4) -15 + 9x + (7 * 2 + x * 2) = 5(2x + 2) + -2(x + 4) -15 + 9x + (14 + 2x) = 5(2x + 2) + -2(x + 4) Reorder the terms: -15 + 14 + 9x + 2x = 5(2x + 2) + -2(x + 4) Combine like terms: -15 + 14 = -1 -1 + 9x + 2x = 5(2x + 2) + -2(x + 4) Combine like terms: 9x + 2x = 11x -1 + 11x = 5(2x + 2) + -2(x + 4) Reorder the terms: -1 + 11x = 5(2 + 2x) + -2(x + 4) -1 + 11x = (2 * 5 + 2x * 5) + -2(x + 4) -1 + 11x = (10 + 10x) + -2(x + 4) Reorder the terms: -1 + 11x = 10 + 10x + -2(4 + x) -1 + 11x = 10 + 10x + (4 * -2 + x * -2) -1 + 11x = 10 + 10x + (-8 + -2x) Reorder the terms: -1 + 11x = 10 + -8 + 10x + -2x Combine like terms: 10 + -8 = 2 -1 + 11x = 2 + 10x + -2x Combine like terms: 10x + -2x = 8x -1 + 11x = 2 + 8x Solving -1 + 11x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -1 + 11x + -8x = 2 + 8x + -8x Combine like terms: 11x + -8x = 3x -1 + 3x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + 3x = 2 + 0 -1 + 3x = 2 Add '1' to each side of the equation. -1 + 1 + 3x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 2 + 1 3x = 2 + 1 Combine like terms: 2 + 1 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
| 2(1-3x)=-2(6+2x) | | 10-5x+7x=16 | | 75-3x=63 | | 3x-18=-6 | | 3x+3=11x+2 | | .65p+.05(1-p)=.05p | | 54+y=63 | | 8-2x=x+2 | | 7+x+3x=27 | | -0.4p+2=0.2p+11 | | -5(p+3)=4(2p-7) | | 13y-1=13-4y | | 2(2x+1)=6(x+4) | | 6x+30+2x+6=180 | | 2x+6=180 | | -7x+7=-63 | | 0.5(8-6h)=h | | 6x+30=180 | | -5+3x=7 | | -8(4-5x)=-2(6x+8) | | -2-3x=-2 | | X^2-5x+6.25=4 | | 12m=24 | | 0=5.5x-9 | | 2y-x=5 | | 6x-2=-62 | | 7t-18=(-116) | | 0=2x-19 | | 5x-8=-2x+6 | | -6(n-1)=-6(1+2n) | | 9x-1=(-10) | | -0.75x-1=.33x-4 |