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Simplifying 683.85 = 47(x + 2.55) Reorder the terms: 683.85 = 47(2.55 + x) 683.85 = (2.55 * 47 + x * 47) 683.85 = (119.85 + 47x) Solving 683.85 = 119.85 + 47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47x' to each side of the equation. 683.85 + -47x = 119.85 + 47x + -47x Combine like terms: 47x + -47x = 0 683.85 + -47x = 119.85 + 0 683.85 + -47x = 119.85 Add '-683.85' to each side of the equation. 683.85 + -683.85 + -47x = 119.85 + -683.85 Combine like terms: 683.85 + -683.85 = 0.00 0.00 + -47x = 119.85 + -683.85 -47x = 119.85 + -683.85 Combine like terms: 119.85 + -683.85 = -564 -47x = -564 Divide each side by '-47'. x = 12 Simplifying x = 12
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