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Simplifying 0.4x + 0.1 = 0.2(x + 20) Reorder the terms: 0.1 + 0.4x = 0.2(x + 20) Reorder the terms: 0.1 + 0.4x = 0.2(20 + x) 0.1 + 0.4x = (20 * 0.2 + x * 0.2) 0.1 + 0.4x = (4 + 0.2x) Solving 0.1 + 0.4x = 4 + 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. 0.1 + 0.4x + -0.2x = 4 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x 0.1 + 0.2x = 4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.1 + 0.2x = 4 + 0.0 0.1 + 0.2x = 4 Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.2x = 4 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.2x = 4 + -0.1 0.2x = 4 + -0.1 Combine like terms: 4 + -0.1 = 3.9 0.2x = 3.9 Divide each side by '0.2'. x = 19.5 Simplifying x = 19.5
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