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Simplifying 6x = 0.5(2x + 30) Reorder the terms: 6x = 0.5(30 + 2x) 6x = (30 * 0.5 + 2x * 0.5) 6x = (15 + 1x) Solving 6x = 15 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6x + -1x = 15 + 1x + -1x Combine like terms: 6x + -1x = 5x 5x = 15 + 1x + -1x Combine like terms: 1x + -1x = 0 5x = 15 + 0 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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