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Simplifying 0.5(x + 2) = 0.1 + 3(0.1 + 0.3) Reorder the terms: 0.5(2 + x) = 0.1 + 3(0.1 + 0.3) (2 * 0.5 + x * 0.5) = 0.1 + 3(0.1 + 0.3) (1 + 0.5x) = 0.1 + 3(0.1 + 0.3) Combine like terms: 0.1 + 0.3 = 0.4 1 + 0.5x = 0.1 + 3(0.4) Multiply 3 * 0.4 1 + 0.5x = 0.1 + 1.2 Combine like terms: 0.1 + 1.2 = 1.3 1 + 0.5x = 1.3 Solving 1 + 0.5x = 1.3 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 = 1.3 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5x = 1.3 + -1 0.5x = 1.3 + -1 Combine like terms: 1.3 + -1 = 0.3 0.5x = 0.3 Divide each side by '0.5'. x = 0.6 Simplifying x = 0.6
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