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Simplifying 3x = 0.5(5x + 12) Reorder the terms: 3x = 0.5(12 + 5x) 3x = (12 * 0.5 + 5x * 0.5) 3x = (6 + 2.5x) Solving 3x = 6 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 3x + -2.5x = 6 + 2.5x + -2.5x Combine like terms: 3x + -2.5x = 0.5x 0.5x = 6 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 0.5x = 6 + 0.0 0.5x = 6 Divide each side by '0.5'. x = 12 Simplifying x = 12
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