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Simplifying 683.1 = 46(x + 2.85) Reorder the terms: 683.1 = 46(2.85 + x) 683.1 = (2.85 * 46 + x * 46) 683.1 = (131.1 + 46x) Solving 683.1 = 131.1 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. 683.1 + -46x = 131.1 + 46x + -46x Combine like terms: 46x + -46x = 0 683.1 + -46x = 131.1 + 0 683.1 + -46x = 131.1 Add '-683.1' to each side of the equation. 683.1 + -683.1 + -46x = 131.1 + -683.1 Combine like terms: 683.1 + -683.1 = 0.0 0.0 + -46x = 131.1 + -683.1 -46x = 131.1 + -683.1 Combine like terms: 131.1 + -683.1 = -552 -46x = -552 Divide each side by '-46'. x = 12 Simplifying x = 12
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