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Simplifying 82 = 2x + -2(-2x + -8) Reorder the terms: 82 = 2x + -2(-8 + -2x) 82 = 2x + (-8 * -2 + -2x * -2) 82 = 2x + (16 + 4x) Reorder the terms: 82 = 16 + 2x + 4x Combine like terms: 2x + 4x = 6x 82 = 16 + 6x Solving 82 = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 82 + -6x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 82 + -6x = 16 + 0 82 + -6x = 16 Add '-82' to each side of the equation. 82 + -82 + -6x = 16 + -82 Combine like terms: 82 + -82 = 0 0 + -6x = 16 + -82 -6x = 16 + -82 Combine like terms: 16 + -82 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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