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Simplifying 0.5(8x + -32) = -4x Reorder the terms: 0.5(-32 + 8x) = -4x (-32 * 0.5 + 8x * 0.5) = -4x (-16 + 4x) = -4x Solving -16 + 4x = -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 + 4x + 4x = -4x + 4x Combine like terms: 4x + 4x = 8x -16 + 8x = -4x + 4x Combine like terms: -4x + 4x = 0 -16 + 8x = 0 Add '16' to each side of the equation. -16 + 16 + 8x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 8x = 0 + 16 8x = 0 + 16 Combine like terms: 0 + 16 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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