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Simplifying 2(4x + -4) = -4(5 + x) Reorder the terms: 2(-4 + 4x) = -4(5 + x) (-4 * 2 + 4x * 2) = -4(5 + x) (-8 + 8x) = -4(5 + x) -8 + 8x = (5 * -4 + x * -4) -8 + 8x = (-20 + -4x) Solving -8 + 8x = -20 + -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. -8 + 8x + 4x = -20 + -4x + 4x Combine like terms: 8x + 4x = 12x -8 + 12x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 12x = -20 + 0 -8 + 12x = -20 Add '8' to each side of the equation. -8 + 8 + 12x = -20 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = -20 + 8 12x = -20 + 8 Combine like terms: -20 + 8 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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