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Simplifying 8x = 0.5(3x + 2) Reorder the terms: 8x = 0.5(2 + 3x) 8x = (2 * 0.5 + 3x * 0.5) 8x = (1 + 1.5x) Solving 8x = 1 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 8x + -1.5x = 1 + 1.5x + -1.5x Combine like terms: 8x + -1.5x = 6.5x 6.5x = 1 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 6.5x = 1 + 0.0 6.5x = 1 Divide each side by '6.5'. x = 0.1538461538 Simplifying x = 0.1538461538
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