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Simplifying 0.2x + -0.5 = 0.1x + 8 Reorder the terms: -0.5 + 0.2x = 0.1x + 8 Reorder the terms: -0.5 + 0.2x = 8 + 0.1x Solving -0.5 + 0.2x = 8 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -0.5 + 0.2x + -0.1x = 8 + 0.1x + -0.1x Combine like terms: 0.2x + -0.1x = 0.1x -0.5 + 0.1x = 8 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -0.5 + 0.1x = 8 + 0.0 -0.5 + 0.1x = 8 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.1x = 8 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.1x = 8 + 0.5 0.1x = 8 + 0.5 Combine like terms: 8 + 0.5 = 8.5 0.1x = 8.5 Divide each side by '0.1'. x = 85 Simplifying x = 85
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