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Simplifying 4x + -6 + 7x = 82 Reorder the terms: -6 + 4x + 7x = 82 Combine like terms: 4x + 7x = 11x -6 + 11x = 82 Solving -6 + 11x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 11x = 82 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 82 + 6 11x = 82 + 6 Combine like terms: 82 + 6 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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