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Simplifying 0.5x + 0.3(2x + 1) = 0.5(60) Reorder the terms: 0.5x + 0.3(1 + 2x) = 0.5(60) 0.5x + (1 * 0.3 + 2x * 0.3) = 0.5(60) 0.5x + (0.3 + 0.6x) = 0.5(60) Reorder the terms: 0.3 + 0.5x + 0.6x = 0.5(60) Combine like terms: 0.5x + 0.6x = 1.1x 0.3 + 1.1x = 0.5(60) Multiply 0.5 * 60 0.3 + 1.1x = 30 Solving 0.3 + 1.1x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 1.1x = 30 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 1.1x = 30 + -0.3 1.1x = 30 + -0.3 Combine like terms: 30 + -0.3 = 29.7 1.1x = 29.7 Divide each side by '1.1'. x = 27 Simplifying x = 27
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