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Simplifying 82x + 47 = 75x + 166 Reorder the terms: 47 + 82x = 75x + 166 Reorder the terms: 47 + 82x = 166 + 75x Solving 47 + 82x = 166 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 47 + 82x + -75x = 166 + 75x + -75x Combine like terms: 82x + -75x = 7x 47 + 7x = 166 + 75x + -75x Combine like terms: 75x + -75x = 0 47 + 7x = 166 + 0 47 + 7x = 166 Add '-47' to each side of the equation. 47 + -47 + 7x = 166 + -47 Combine like terms: 47 + -47 = 0 0 + 7x = 166 + -47 7x = 166 + -47 Combine like terms: 166 + -47 = 119 7x = 119 Divide each side by '7'. x = 17 Simplifying x = 17
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