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Simplifying 0.5x + 4 = -4x + -5 Reorder the terms: 4 + 0.5x = -4x + -5 Reorder the terms: 4 + 0.5x = -5 + -4x Solving 4 + 0.5x = -5 + -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. 4 + 0.5x + 4x = -5 + -4x + 4x Combine like terms: 0.5x + 4x = 4.5x 4 + 4.5x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 4.5x = -5 + 0 4 + 4.5x = -5 Add '-4' to each side of the equation. 4 + -4 + 4.5x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 4.5x = -5 + -4 4.5x = -5 + -4 Combine like terms: -5 + -4 = -9 4.5x = -9 Divide each side by '4.5'. x = -2 Simplifying x = -2
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