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Simplifying x * 5 + 82 = x * 11 + -8 Reorder the terms for easier multiplication: 5x + 82 = x * 11 + -8 Reorder the terms: 82 + 5x = x * 11 + -8 Reorder the terms for easier multiplication: 82 + 5x = 11x + -8 Reorder the terms: 82 + 5x = -8 + 11x Solving 82 + 5x = -8 + 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 = -8 + 11x + -11x Combine like terms: 5x + -11x = -6x 82 + -6x = -8 + 11x + -11x Combine like terms: 11x + -11x = 0 82 + -6x = -8 + 0 82 + -6x = -8 Add '-82' to each side of the equation. 82 + -82 + -6x = -8 + -82 Combine like terms: 82 + -82 = 0 0 + -6x = -8 + -82 -6x = -8 + -82 Combine like terms: -8 + -82 = -90 -6x = -90 Divide each side by '-6'. x = 15 Simplifying x = 15
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