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Simplifying 0.4x + 1 = 0.2x + 2 Reorder the terms: 1 + 0.4x = 0.2x + 2 Reorder the terms: 1 + 0.4x = 2 + 0.2x Solving 1 + 0.4x = 2 + 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. 1 + 0.4x + -0.2x = 2 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 1 + 0.2x = 2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 1 + 0.2x = 2 + 0.0 1 + 0.2x = 2 Add '-1' to each side of the equation. 1 + -1 + 0.2x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 0.2x = 2 + -1 0.2x = 2 + -1 Combine like terms: 2 + -1 = 1 0.2x = 1 Divide each side by '0.2'. x = 5 Simplifying x = 5
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