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Simplifying -4(1 + -2x) = 8x + -4x + 8 (1 * -4 + -2x * -4) = 8x + -4x + 8 (-4 + 8x) = 8x + -4x + 8 Reorder the terms: -4 + 8x = 8 + 8x + -4x Combine like terms: 8x + -4x = 4x -4 + 8x = 8 + 4x Solving -4 + 8x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 8x + -4x = 8 + 4x + -4x Combine like terms: 8x + -4x = 4x -4 + 4x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 4x = 8 + 0 -4 + 4x = 8 Add '4' to each side of the equation. -4 + 4 + 4x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 8 + 4 4x = 8 + 4 Combine like terms: 8 + 4 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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