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Simplifying 0.5(4x + 1) = 6 Reorder the terms: 0.5(1 + 4x) = 6 (1 * 0.5 + 4x * 0.5) = 6 (0.5 + 2x) = 6 Solving 0.5 + 2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 2x = 6 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 2x = 6 + -0.5 2x = 6 + -0.5 Combine like terms: 6 + -0.5 = 5.5 2x = 5.5 Divide each side by '2'. x = 2.75 Simplifying x = 2.75
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