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Simplifying x + 0.2 = 0.4x + 3.2 Reorder the terms: 0.2 + x = 0.4x + 3.2 Reorder the terms: 0.2 + x = 3.2 + 0.4x Solving 0.2 + x = 3.2 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 0.2 + x + -0.4x = 3.2 + 0.4x + -0.4x Combine like terms: x + -0.4x = 0.6x 0.2 + 0.6x = 3.2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.2 + 0.6x = 3.2 + 0.0 0.2 + 0.6x = 3.2 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.6x = 3.2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.6x = 3.2 + -0.2 0.6x = 3.2 + -0.2 Combine like terms: 3.2 + -0.2 = 3 0.6x = 3 Divide each side by '0.6'. x = 5 Simplifying x = 5
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