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Simplifying 0.6x + -0.4 = 0.2x + 3 Reorder the terms: -0.4 + 0.6x = 0.2x + 3 Reorder the terms: -0.4 + 0.6x = 3 + 0.2x Solving -0.4 + 0.6x = 3 + 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. -0.4 + 0.6x + -0.2x = 3 + 0.2x + -0.2x Combine like terms: 0.6x + -0.2x = 0.4x -0.4 + 0.4x = 3 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.4 + 0.4x = 3 + 0.0 -0.4 + 0.4x = 3 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.4x = 3 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.4x = 3 + 0.4 0.4x = 3 + 0.4 Combine like terms: 3 + 0.4 = 3.4 0.4x = 3.4 Divide each side by '0.4'. x = 8.5 Simplifying x = 8.5
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