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Simplifying 0.4(5x + 2) = 42 Reorder the terms: 0.4(2 + 5x) = 42 (2 * 0.4 + 5x * 0.4) = 42 (0.8 + 2x) = 42 Solving 0.8 + 2x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 2x = 42 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 2x = 42 + -0.8 2x = 42 + -0.8 Combine like terms: 42 + -0.8 = 41.2 2x = 41.2 Divide each side by '2'. x = 20.6 Simplifying x = 20.6
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