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Simplifying 3x = 0.5(x + 3) + 12 Reorder the terms: 3x = 0.5(3 + x) + 12 3x = (3 * 0.5 + x * 0.5) + 12 3x = (1.5 + 0.5x) + 12 Reorder the terms: 3x = 1.5 + 12 + 0.5x Combine like terms: 1.5 + 12 = 13.5 3x = 13.5 + 0.5x Solving 3x = 13.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 3x + -0.5x = 13.5 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x 2.5x = 13.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2.5x = 13.5 + 0.0 2.5x = 13.5 Divide each side by '2.5'. x = 5.4 Simplifying x = 5.4
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