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Simplifying -8x + 2[x + -1(4 + -5x)] = 0 -8x + 2[x + (4 * -1 + -5x * -1)] = 0 -8x + 2[x + (-4 + 5x)] = 0 Reorder the terms: -8x + 2[-4 + x + 5x] = 0 Combine like terms: x + 5x = 6x -8x + 2[-4 + 6x] = 0 -8x + [-4 * 2 + 6x * 2] = 0 -8x + [-8 + 12x] = 0 Reorder the terms: -8 + -8x + 12x = 0 Combine like terms: -8x + 12x = 4x -8 + 4x = 0 Solving -8 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 0 + 8 4x = 0 + 8 Combine like terms: 0 + 8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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