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Simplifying 5x + 82 = 11x + 10 Reorder the terms: 82 + 5x = 11x + 10 Reorder the terms: 82 + 5x = 10 + 11x Solving 82 + 5x = 10 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 82 + 5x + -11x = 10 + 11x + -11x Combine like terms: 5x + -11x = -6x 82 + -6x = 10 + 11x + -11x Combine like terms: 11x + -11x = 0 82 + -6x = 10 + 0 82 + -6x = 10 Add '-82' to each side of the equation. 82 + -82 + -6x = 10 + -82 Combine like terms: 82 + -82 = 0 0 + -6x = 10 + -82 -6x = 10 + -82 Combine like terms: 10 + -82 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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