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Simplifying -4(5x + 8) + 4 = 32 + -8x Reorder the terms: -4(8 + 5x) + 4 = 32 + -8x (8 * -4 + 5x * -4) + 4 = 32 + -8x (-32 + -20x) + 4 = 32 + -8x Reorder the terms: -32 + 4 + -20x = 32 + -8x Combine like terms: -32 + 4 = -28 -28 + -20x = 32 + -8x Solving -28 + -20x = 32 + -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. -28 + -20x + 8x = 32 + -8x + 8x Combine like terms: -20x + 8x = -12x -28 + -12x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -28 + -12x = 32 + 0 -28 + -12x = 32 Add '28' to each side of the equation. -28 + 28 + -12x = 32 + 28 Combine like terms: -28 + 28 = 0 0 + -12x = 32 + 28 -12x = 32 + 28 Combine like terms: 32 + 28 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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