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Simplifying 0.5x + 8 = -4x Reorder the terms: 8 + 0.5x = -4x Solving 8 + 0.5x = -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 + 0.5x + 4x = -4x + 4x Combine like terms: 0.5x + 4x = 4.5x 8 + 4.5x = -4x + 4x Combine like terms: -4x + 4x = 0 8 + 4.5x = 0 Add '-8' to each side of the equation. 8 + -8 + 4.5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4.5x = 0 + -8 4.5x = 0 + -8 Combine like terms: 0 + -8 = -8 4.5x = -8 Divide each side by '4.5'. x = -1.777777778 Simplifying x = -1.777777778
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