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Simplifying -4[2(x + 1) + -1(3x + 8)] = 0 Reorder the terms: -4[2(1 + x) + -1(3x + 8)] = 0 -4[(1 * 2 + x * 2) + -1(3x + 8)] = 0 -4[(2 + 2x) + -1(3x + 8)] = 0 Reorder the terms: -4[2 + 2x + -1(8 + 3x)] = 0 -4[2 + 2x + (8 * -1 + 3x * -1)] = 0 -4[2 + 2x + (-8 + -3x)] = 0 Reorder the terms: -4[2 + -8 + 2x + -3x] = 0 Combine like terms: 2 + -8 = -6 -4[-6 + 2x + -3x] = 0 Combine like terms: 2x + -3x = -1x -4[-6 + -1x] = 0 [-6 * -4 + -1x * -4] = 0 [24 + 4x] = 0 Solving 24 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 0 + -24 4x = 0 + -24 Combine like terms: 0 + -24 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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