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Simplifying 9 + -0.5x = 4.5x + 8.5 Reorder the terms: 9 + -0.5x = 8.5 + 4.5x Solving 9 + -0.5x = 8.5 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 9 + -0.5x + -4.5x = 8.5 + 4.5x + -4.5x Combine like terms: -0.5x + -4.5x = -5x 9 + -5x = 8.5 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 9 + -5x = 8.5 + 0.0 9 + -5x = 8.5 Add '-9' to each side of the equation. 9 + -9 + -5x = 8.5 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 8.5 + -9 -5x = 8.5 + -9 Combine like terms: 8.5 + -9 = -0.5 -5x = -0.5 Divide each side by '-5'. x = 0.1 Simplifying x = 0.1
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