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Simplifying 82 = 2x + -6 + 4 + -9x Reorder the terms: 82 = -6 + 4 + 2x + -9x Combine like terms: -6 + 4 = -2 82 = -2 + 2x + -9x Combine like terms: 2x + -9x = -7x 82 = -2 + -7x Solving 82 = -2 + -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. 82 + 7x = -2 + -7x + 7x Combine like terms: -7x + 7x = 0 82 + 7x = -2 + 0 82 + 7x = -2 Add '-82' to each side of the equation. 82 + -82 + 7x = -2 + -82 Combine like terms: 82 + -82 = 0 0 + 7x = -2 + -82 7x = -2 + -82 Combine like terms: -2 + -82 = -84 7x = -84 Divide each side by '7'. x = -12 Simplifying x = -12
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