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Simplifying 0.5x + 0.75(6) = 11.50 Multiply 0.75 * 6 0.5x + 4.5 = 11.50 Reorder the terms: 4.5 + 0.5x = 11.50 Solving 4.5 + 0.5x = 11.50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.5x = 11.50 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.5x = 11.50 + -4.5 0.5x = 11.50 + -4.5 Combine like terms: 11.50 + -4.5 = 7 0.5x = 7 Divide each side by '0.5'. x = 14 Simplifying x = 14
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