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Simplifying 0.4x + 0.1(x + 20) = 5.5 Reorder the terms: 0.4x + 0.1(20 + x) = 5.5 0.4x + (20 * 0.1 + x * 0.1) = 5.5 0.4x + (2 + 0.1x) = 5.5 Reorder the terms: 2 + 0.4x + 0.1x = 5.5 Combine like terms: 0.4x + 0.1x = 0.5x 2 + 0.5x = 5.5 Solving 2 + 0.5x = 5.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.5x = 5.5 + -2 Combine like terms: 2 + -2 = 0 0 + 0.5x = 5.5 + -2 0.5x = 5.5 + -2 Combine like terms: 5.5 + -2 = 3.5 0.5x = 3.5 Divide each side by '0.5'. x = 7 Simplifying x = 7
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