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Simplifying 0.4x + 7.2 + 5 + 12.60 = 46 Reorder the terms: 7.2 + 5 + 12.60 + 0.4x = 46 Combine like terms: 7.2 + 5 = 12.2 12.2 + 12.60 + 0.4x = 46 Combine like terms: 12.2 + 12.60 = 24.8 24.8 + 0.4x = 46 Solving 24.8 + 0.4x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24.8' to each side of the equation. 24.8 + -24.8 + 0.4x = 46 + -24.8 Combine like terms: 24.8 + -24.8 = 0.0 0.0 + 0.4x = 46 + -24.8 0.4x = 46 + -24.8 Combine like terms: 46 + -24.8 = 21.2 0.4x = 21.2 Divide each side by '0.4'. x = 53 Simplifying x = 53
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