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Simplifying 7(1 + -2x) + -1(6x + -1) * 3 = 8(1 + -4x) + 2(5x + -9) (1 * 7 + -2x * 7) + -1(6x + -1) * 3 = 8(1 + -4x) + 2(5x + -9) (7 + -14x) + -1(6x + -1) * 3 = 8(1 + -4x) + 2(5x + -9) Reorder the terms: 7 + -14x + -1(-1 + 6x) * 3 = 8(1 + -4x) + 2(5x + -9) Reorder the terms for easier multiplication: 7 + -14x + -1 * 3(-1 + 6x) = 8(1 + -4x) + 2(5x + -9) Multiply -1 * 3 7 + -14x + -3(-1 + 6x) = 8(1 + -4x) + 2(5x + -9) 7 + -14x + (-1 * -3 + 6x * -3) = 8(1 + -4x) + 2(5x + -9) 7 + -14x + (3 + -18x) = 8(1 + -4x) + 2(5x + -9) Reorder the terms: 7 + 3 + -14x + -18x = 8(1 + -4x) + 2(5x + -9) Combine like terms: 7 + 3 = 10 10 + -14x + -18x = 8(1 + -4x) + 2(5x + -9) Combine like terms: -14x + -18x = -32x 10 + -32x = 8(1 + -4x) + 2(5x + -9) 10 + -32x = (1 * 8 + -4x * 8) + 2(5x + -9) 10 + -32x = (8 + -32x) + 2(5x + -9) Reorder the terms: 10 + -32x = 8 + -32x + 2(-9 + 5x) 10 + -32x = 8 + -32x + (-9 * 2 + 5x * 2) 10 + -32x = 8 + -32x + (-18 + 10x) Reorder the terms: 10 + -32x = 8 + -18 + -32x + 10x Combine like terms: 8 + -18 = -10 10 + -32x = -10 + -32x + 10x Combine like terms: -32x + 10x = -22x 10 + -32x = -10 + -22x Solving 10 + -32x = -10 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 10 + -32x + 22x = -10 + -22x + 22x Combine like terms: -32x + 22x = -10x 10 + -10x = -10 + -22x + 22x Combine like terms: -22x + 22x = 0 10 + -10x = -10 + 0 10 + -10x = -10 Add '-10' to each side of the equation. 10 + -10 + -10x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = -10 + -10 -10x = -10 + -10 Combine like terms: -10 + -10 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
| -6--2= | | 7+2x=7x-38 | | 8st+7su-9sv= | | 3w+4-2=12 | | 12=n/2+3 | | -5--7= | | x-12x=-4+2 | | 4(95-8x)=-115 | | -21=f+18 | | -4--10= | | y+2/5=-3 | | -5x-6-3x=40 | | x(x+3)(x-2)(x-1)=3 | | x(x+3)(x-2)(x-1)=0 | | 4x=110 | | -9=-2+k | | z/4-7=1 | | mover-4=-10 | | 3/2+2=20 | | Y+7=8-2y | | 8x-12=2x+12 | | 4-3m=1 | | 6x-8x+5=(x+2)+7 | | x/-1.2=0.054 | | 70-6x=130-46x | | 12-f=-4 | | x-443.51=62.14 | | 0.3y-6=0.1y | | x*11+25=x*6+115 | | 3+x+y=0 | | x+4–7x=22 | | 70-6x+130-46x=180 |