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Simplifying -4(5x + 1) = 8 + -8x Reorder the terms: -4(1 + 5x) = 8 + -8x (1 * -4 + 5x * -4) = 8 + -8x (-4 + -20x) = 8 + -8x Solving -4 + -20x = 8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -4 + -20x + 8x = 8 + -8x + 8x Combine like terms: -20x + 8x = -12x -4 + -12x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + -12x = 8 + 0 -4 + -12x = 8 Add '4' to each side of the equation. -4 + 4 + -12x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = 8 + 4 -12x = 8 + 4 Combine like terms: 8 + 4 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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