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Simplifying 0.5(4x + 7) = 12 Reorder the terms: 0.5(7 + 4x) = 12 (7 * 0.5 + 4x * 0.5) = 12 (3.5 + 2x) = 12 Solving 3.5 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + 2x = 12 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 2x = 12 + -3.5 2x = 12 + -3.5 Combine like terms: 12 + -3.5 = 8.5 2x = 8.5 Divide each side by '2'. x = 4.25 Simplifying x = 4.25
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