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Simplifying -82 = -6X + -2(-6x + 5) Reorder the terms: -82 = -6X + -2(5 + -6x) -82 = -6X + (5 * -2 + -6x * -2) -82 = -6X + (-10 + 12x) Reorder the terms: -82 = -10 + -6X + 12x Solving -82 = -10 + -6X + 12x 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 = -10 + -6X + 6X + 12x Combine like terms: -6X + 6X = 0 -82 + 6X = -10 + 0 + 12x -82 + 6X = -10 + 12x Add '82' to each side of the equation. -82 + 82 + 6X = -10 + 82 + 12x Combine like terms: -82 + 82 = 0 0 + 6X = -10 + 82 + 12x 6X = -10 + 82 + 12x Combine like terms: -10 + 82 = 72 6X = 72 + 12x Divide each side by '6'. X = 12 + 2x Simplifying X = 12 + 2x
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