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Simplifying 3x + 82 = 11x + -14 Reorder the terms: 82 + 3x = 11x + -14 Reorder the terms: 82 + 3x = -14 + 11x Solving 82 + 3x = -14 + 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 + 3x + -11x = -14 + 11x + -11x Combine like terms: 3x + -11x = -8x 82 + -8x = -14 + 11x + -11x Combine like terms: 11x + -11x = 0 82 + -8x = -14 + 0 82 + -8x = -14 Add '-82' to each side of the equation. 82 + -82 + -8x = -14 + -82 Combine like terms: 82 + -82 = 0 0 + -8x = -14 + -82 -8x = -14 + -82 Combine like terms: -14 + -82 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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