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Simplifying 54 = 0.75x + 4.5 Reorder the terms: 54 = 4.5 + 0.75x Solving 54 = 4.5 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 54 + -0.75x = 4.5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 54 + -0.75x = 4.5 + 0.00 54 + -0.75x = 4.5 Add '-54' to each side of the equation. 54 + -54 + -0.75x = 4.5 + -54 Combine like terms: 54 + -54 = 0 0 + -0.75x = 4.5 + -54 -0.75x = 4.5 + -54 Combine like terms: 4.5 + -54 = -49.5 -0.75x = -49.5 Divide each side by '-0.75'. x = 66 Simplifying x = 66
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