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Simplifying 2x + 6 = -82 + -9x Reorder the terms: 6 + 2x = -82 + -9x Solving 6 + 2x = -82 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 6 + 2x + 9x = -82 + -9x + 9x Combine like terms: 2x + 9x = 11x 6 + 11x = -82 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 11x = -82 + 0 6 + 11x = -82 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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