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Simplifying 0.8 + 0.375x = 5x + 2.5 + -0.3333x Reorder the terms: 0.8 + 0.375x = 2.5 + 5x + -0.3333x Combine like terms: 5x + -0.3333x = 4.6667x 0.8 + 0.375x = 2.5 + 4.6667x Solving 0.8 + 0.375x = 2.5 + 4.6667x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.6667x' to each side of the equation. 0.8 + 0.375x + -4.6667x = 2.5 + 4.6667x + -4.6667x Combine like terms: 0.375x + -4.6667x = -4.2917x 0.8 + -4.2917x = 2.5 + 4.6667x + -4.6667x Combine like terms: 4.6667x + -4.6667x = 0.0000 0.8 + -4.2917x = 2.5 + 0.0000 0.8 + -4.2917x = 2.5 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -4.2917x = 2.5 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -4.2917x = 2.5 + -0.8 -4.2917x = 2.5 + -0.8 Combine like terms: 2.5 + -0.8 = 1.7 -4.2917x = 1.7 Divide each side by '-4.2917'. x = -0.3961134282 Simplifying x = -0.3961134282
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