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Simplifying 0.6x + -0.5 = 2.5 + -0.2x Reorder the terms: -0.5 + 0.6x = 2.5 + -0.2x Solving -0.5 + 0.6x = 2.5 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -0.5 + 0.6x + 0.2x = 2.5 + -0.2x + 0.2x Combine like terms: 0.6x + 0.2x = 0.8x -0.5 + 0.8x = 2.5 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -0.5 + 0.8x = 2.5 + 0.0 -0.5 + 0.8x = 2.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.8x = 2.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.8x = 2.5 + 0.5 0.8x = 2.5 + 0.5 Combine like terms: 2.5 + 0.5 = 3 0.8x = 3 Divide each side by '0.8'. x = 3.75 Simplifying x = 3.75
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