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Simplifying 3x + 7 + 4x + -2 = 82 Reorder the terms: 7 + -2 + 3x + 4x = 82 Combine like terms: 7 + -2 = 5 5 + 3x + 4x = 82 Combine like terms: 3x + 4x = 7x 5 + 7x = 82 Solving 5 + 7x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7x = 82 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 82 + -5 7x = 82 + -5 Combine like terms: 82 + -5 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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