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Simplifying 2(3x + -4) + -1(5 + -7x) = 5 + -1[2 + -3(2x + 5)] Reorder the terms: 2(-4 + 3x) + -1(5 + -7x) = 5 + -1[2 + -3(2x + 5)] (-4 * 2 + 3x * 2) + -1(5 + -7x) = 5 + -1[2 + -3(2x + 5)] (-8 + 6x) + -1(5 + -7x) = 5 + -1[2 + -3(2x + 5)] -8 + 6x + (5 * -1 + -7x * -1) = 5 + -1[2 + -3(2x + 5)] -8 + 6x + (-5 + 7x) = 5 + -1[2 + -3(2x + 5)] Reorder the terms: -8 + -5 + 6x + 7x = 5 + -1[2 + -3(2x + 5)] Combine like terms: -8 + -5 = -13 -13 + 6x + 7x = 5 + -1[2 + -3(2x + 5)] Combine like terms: 6x + 7x = 13x -13 + 13x = 5 + -1[2 + -3(2x + 5)] Reorder the terms: -13 + 13x = 5 + -1[2 + -3(5 + 2x)] -13 + 13x = 5 + -1[2 + (5 * -3 + 2x * -3)] -13 + 13x = 5 + -1[2 + (-15 + -6x)] Combine like terms: 2 + -15 = -13 -13 + 13x = 5 + -1[-13 + -6x] -13 + 13x = 5 + [-13 * -1 + -6x * -1] -13 + 13x = 5 + [13 + 6x] Combine like terms: 5 + 13 = 18 -13 + 13x = 18 + 6x Solving -13 + 13x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -13 + 13x + -6x = 18 + 6x + -6x Combine like terms: 13x + -6x = 7x -13 + 7x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + 7x = 18 + 0 -13 + 7x = 18 Add '13' to each side of the equation. -13 + 13 + 7x = 18 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 18 + 13 7x = 18 + 13 Combine like terms: 18 + 13 = 31 7x = 31 Divide each side by '7'. x = 4.428571429 Simplifying x = 4.428571429
| 3x+2x=2.5+3.5 | | .2y=.68 | | 8-2d-7d= | | 4n=92 | | 6x+5y=18 | | .2y=3 | | 1/4(x-30)=30 | | 1/4(x-30)=15 | | 18(w+3)-45=18w+9 | | 7x-4=8x-4 | | 8=.056 | | 4x-7x=-18 | | 3y=87 | | .2x=6.14 | | -6(1x+10)=-78 | | 10x-22=29-x | | 4(m+9)=(m-5)+2 | | 5c+c+2c=16 | | (17x-28)=3x | | 5.5v-3.3v=7.7 | | 29=6(4A-8) | | (3a+5)=(35-7a) | | 2x-3=-25 | | 4(x+x)+7-5x=8+(-5)(5x-6x)+23 | | 3t+1=3t+2 | | (3a+5)=(35-7) | | 5.50(x+75.00)=1100.00 | | -5(6-x)=-35 | | 1099=(1500+15a)-(1350+8.50a) | | x^2+3x=19 | | -3+6-1=2 | | x/19-1/2=3/8 |