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Simplifying 0.2(3.1x + -0.4) = 2.15 + -0.25x Reorder the terms: 0.2(-0.4 + 3.1x) = 2.15 + -0.25x (-0.4 * 0.2 + 3.1x * 0.2) = 2.15 + -0.25x (-0.08 + 0.62x) = 2.15 + -0.25x Solving -0.08 + 0.62x = 2.15 + -0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.25x' to each side of the equation. -0.08 + 0.62x + 0.25x = 2.15 + -0.25x + 0.25x Combine like terms: 0.62x + 0.25x = 0.87x -0.08 + 0.87x = 2.15 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 -0.08 + 0.87x = 2.15 + 0.00 -0.08 + 0.87x = 2.15 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.87x = 2.15 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.87x = 2.15 + 0.08 0.87x = 2.15 + 0.08 Combine like terms: 2.15 + 0.08 = 2.23 0.87x = 2.23 Divide each side by '0.87'. x = 2.563218391 Simplifying x = 2.563218391
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