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Simplifying -4(5x + 8) = 4 + -8x Reorder the terms: -4(8 + 5x) = 4 + -8x (8 * -4 + 5x * -4) = 4 + -8x (-32 + -20x) = 4 + -8x Solving -32 + -20x = 4 + -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. -32 + -20x + 8x = 4 + -8x + 8x Combine like terms: -20x + 8x = -12x -32 + -12x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -32 + -12x = 4 + 0 -32 + -12x = 4 Add '32' to each side of the equation. -32 + 32 + -12x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -12x = 4 + 32 -12x = 4 + 32 Combine like terms: 4 + 32 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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