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Simplifying 6[x + -1(2 + -1x)] = -4(8x + 3) 6[x + (2 * -1 + -1x * -1)] = -4(8x + 3) 6[x + (-2 + 1x)] = -4(8x + 3) Reorder the terms: 6[-2 + x + 1x] = -4(8x + 3) Combine like terms: x + 1x = 2x 6[-2 + 2x] = -4(8x + 3) [-2 * 6 + 2x * 6] = -4(8x + 3) [-12 + 12x] = -4(8x + 3) Reorder the terms: -12 + 12x = -4(3 + 8x) -12 + 12x = (3 * -4 + 8x * -4) -12 + 12x = (-12 + -32x) Add '12' to each side of the equation. -12 + 12 + 12x = -12 + 12 + -32x Combine like terms: -12 + 12 = 0 0 + 12x = -12 + 12 + -32x 12x = -12 + 12 + -32x Combine like terms: -12 + 12 = 0 12x = 0 + -32x 12x = -32x Solving 12x = -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. 12x + 32x = -32x + 32x Combine like terms: 12x + 32x = 44x 44x = -32x + 32x Combine like terms: -32x + 32x = 0 44x = 0 Divide each side by '44'. x = 0 Simplifying x = 0
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