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Simplifying 4x + 14 = -82 + -8x Reorder the terms: 14 + 4x = -82 + -8x Solving 14 + 4x = -82 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 14 + 4x + 8x = -82 + -8x + 8x Combine like terms: 4x + 8x = 12x 14 + 12x = -82 + -8x + 8x Combine like terms: -8x + 8x = 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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