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Simplifying 4(2x + -4) = 8 + -4x Reorder the terms: 4(-4 + 2x) = 8 + -4x (-4 * 4 + 2x * 4) = 8 + -4x (-16 + 8x) = 8 + -4x Solving -16 + 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. -16 + 8x + 4x = 8 + -4x + 4x Combine like terms: 8x + 4x = 12x -16 + 12x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + 12x = 8 + 0 -16 + 12x = 8 Add '16' to each side of the equation. -16 + 16 + 12x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 12x = 8 + 16 12x = 8 + 16 Combine like terms: 8 + 16 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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