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Simplifying 5x + 14 = -82 + -7x Reorder the terms: 14 + 5x = -82 + -7x Solving 14 + 5x = -82 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 14 + 5x + 7x = -82 + -7x + 7x Combine like terms: 5x + 7x = 12x 14 + 12x = -82 + -7x + 7x Combine like terms: -7x + 7x = 0 14 + 12x = -82 + 0 14 + 12x = -82 Add '-14' to each side of the equation. 14 + -14 + 12x = -82 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = -82 + -14 12x = -82 + -14 Combine like terms: -82 + -14 = -96 12x = -96 Divide each side by '12'. x = -8 Simplifying x = -8
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