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Simplifying 0.5x + 0.6(2x + 1) = 5.7 Reorder the terms: 0.5x + 0.6(1 + 2x) = 5.7 0.5x + (1 * 0.6 + 2x * 0.6) = 5.7 0.5x + (0.6 + 1.2x) = 5.7 Reorder the terms: 0.6 + 0.5x + 1.2x = 5.7 Combine like terms: 0.5x + 1.2x = 1.7x 0.6 + 1.7x = 5.7 Solving 0.6 + 1.7x = 5.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 1.7x = 5.7 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 1.7x = 5.7 + -0.6 1.7x = 5.7 + -0.6 Combine like terms: 5.7 + -0.6 = 5.1 1.7x = 5.1 Divide each side by '1.7'. x = 3 Simplifying x = 3
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