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Simplifying 0.75(x + 6) = 54 Reorder the terms: 0.75(6 + x) = 54 (6 * 0.75 + x * 0.75) = 54 (4.5 + 0.75x) = 54 Solving 4.5 + 0.75x = 54 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 + 0.75x = 54 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.75x = 54 + -4.5 0.75x = 54 + -4.5 Combine like terms: 54 + -4.5 = 49.5 0.75x = 49.5 Divide each side by '0.75'. x = 66 Simplifying x = 66
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