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Simplifying 30x + -1(5x + 4) + -11 = 25x + -15x + 22(x + -1) Reorder the terms: 30x + -1(4 + 5x) + -11 = 25x + -15x + 22(x + -1) 30x + (4 * -1 + 5x * -1) + -11 = 25x + -15x + 22(x + -1) 30x + (-4 + -5x) + -11 = 25x + -15x + 22(x + -1) Reorder the terms: -4 + -11 + 30x + -5x = 25x + -15x + 22(x + -1) Combine like terms: -4 + -11 = -15 -15 + 30x + -5x = 25x + -15x + 22(x + -1) Combine like terms: 30x + -5x = 25x -15 + 25x = 25x + -15x + 22(x + -1) Reorder the terms: -15 + 25x = 25x + -15x + 22(-1 + x) -15 + 25x = 25x + -15x + (-1 * 22 + x * 22) -15 + 25x = 25x + -15x + (-22 + 22x) Reorder the terms: -15 + 25x = -22 + 25x + -15x + 22x Combine like terms: 25x + -15x = 10x -15 + 25x = -22 + 10x + 22x Combine like terms: 10x + 22x = 32x -15 + 25x = -22 + 32x Solving -15 + 25x = -22 + 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. -15 + 25x + -32x = -22 + 32x + -32x Combine like terms: 25x + -32x = -7x -15 + -7x = -22 + 32x + -32x Combine like terms: 32x + -32x = 0 -15 + -7x = -22 + 0 -15 + -7x = -22 Add '15' to each side of the equation. -15 + 15 + -7x = -22 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = -22 + 15 -7x = -22 + 15 Combine like terms: -22 + 15 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
| 21x-42=21 | | 3m(2m+9)=0 | | 29n+14-17n=62 | | 16-5k=-k-6k | | 3x+6=-6 | | .75(2x+5)=6 | | 7y+y=-56 | | 3r+4r-2=12 | | 9x+6y=36 | | 1.75(2x+5)=6 | | 3x-4(x+1)=-(7x+4)+x | | -5(6m-2)=10 | | 0.4n+0.1=0.5(n+4) | | 4y+16=24x-2y | | 6x^2-12x-5=0 | | 8x-9=1211x | | 2x=-3x+15 | | 49(2x-12)=38(3x+9) | | 12+-8z=-12 | | -10.6=x | | 8x-0=12+11x | | 14x+12=7x+35 | | 6.8(x-4)=-0.2x+21.8 | | 8x+4y=32 | | 5(a+6)=6+a | | 4(x-3)=-4x+52 | | x+0.77=9.3 | | -9m-[2(11-2m)+14]=7m | | 7x-1=139 | | 10=-2c+22 | | 12x-5=5x+16 | | 8x+y=21 |