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Simplifying 5x + -83 = 82 + -6x Reorder the terms: -83 + 5x = 82 + -6x Solving -83 + 5x = 82 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -83 + 5x + 6x = 82 + -6x + 6x Combine like terms: 5x + 6x = 11x -83 + 11x = 82 + -6x + 6x Combine like terms: -6x + 6x = 0 -83 + 11x = 82 + 0 -83 + 11x = 82 Add '83' to each side of the equation. -83 + 83 + 11x = 82 + 83 Combine like terms: -83 + 83 = 0 0 + 11x = 82 + 83 11x = 82 + 83 Combine like terms: 82 + 83 = 165 11x = 165 Divide each side by '11'. x = 15 Simplifying x = 15
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