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Simplifying 6x + 82 = 10x + -14 Reorder the terms: 82 + 6x = 10x + -14 Reorder the terms: 82 + 6x = -14 + 10x Solving 82 + 6x = -14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 82 + 6x + -10x = -14 + 10x + -10x Combine like terms: 6x + -10x = -4x 82 + -4x = -14 + 10x + -10x Combine like terms: 10x + -10x = 0 82 + -4x = -14 + 0 82 + -4x = -14 Add '-82' to each side of the equation. 82 + -82 + -4x = -14 + -82 Combine like terms: 82 + -82 = 0 0 + -4x = -14 + -82 -4x = -14 + -82 Combine like terms: -14 + -82 = -96 -4x = -96 Divide each side by '-4'. x = 24 Simplifying x = 24
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