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Simplifying 0.5(x + 2) = 0.9 + 0.2 Reorder the terms: 0.5(2 + x) = 0.9 + 0.2 (2 * 0.5 + x * 0.5) = 0.9 + 0.2 (1 + 0.5x) = 0.9 + 0.2 Combine like terms: 0.9 + 0.2 = 1.1 1 + 0.5x = 1.1 Solving 1 + 0.5x = 1.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.5x = 1.1 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5x = 1.1 + -1 0.5x = 1.1 + -1 Combine like terms: 1.1 + -1 = 0.1 0.5x = 0.1 Divide each side by '0.5'. x = 0.2 Simplifying x = 0.2
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