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Simplifying 0.5x + 0.1(x + 20) = 3.2 Reorder the terms: 0.5x + 0.1(20 + x) = 3.2 0.5x + (20 * 0.1 + x * 0.1) = 3.2 0.5x + (2 + 0.1x) = 3.2 Reorder the terms: 2 + 0.5x + 0.1x = 3.2 Combine like terms: 0.5x + 0.1x = 0.6x 2 + 0.6x = 3.2 Solving 2 + 0.6x = 3.2 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 + 0.6x = 3.2 + -2 Combine like terms: 2 + -2 = 0 0 + 0.6x = 3.2 + -2 0.6x = 3.2 + -2 Combine like terms: 3.2 + -2 = 1.2 0.6x = 1.2 Divide each side by '0.6'. x = 2 Simplifying x = 2
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