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Simplifying 3x = 0.5(4x + 30) Reorder the terms: 3x = 0.5(30 + 4x) 3x = (30 * 0.5 + 4x * 0.5) 3x = (15 + 2x) Solving 3x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3x + -2x = 15 + 2x + -2x Combine like terms: 3x + -2x = 1x 1x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 1x = 15 + 0 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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