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Simplifying 0.2 = -0.4x + 4.2 Reorder the terms: 0.2 = 4.2 + -0.4x Solving 0.2 = 4.2 + -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 + 0.4x = 4.2 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 0.2 + 0.4x = 4.2 + 0.0 0.2 + 0.4x = 4.2 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.4x = 4.2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.4x = 4.2 + -0.2 0.4x = 4.2 + -0.2 Combine like terms: 4.2 + -0.2 = 4 0.4x = 4 Divide each side by '0.4'. x = 10 Simplifying x = 10
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