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Simplifying -2x + -3(-2x + 18) = -82 Reorder the terms: -2x + -3(18 + -2x) = -82 -2x + (18 * -3 + -2x * -3) = -82 -2x + (-54 + 6x) = -82 Reorder the terms: -54 + -2x + 6x = -82 Combine like terms: -2x + 6x = 4x -54 + 4x = -82 Solving -54 + 4x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 4x = -82 + 54 Combine like terms: -54 + 54 = 0 0 + 4x = -82 + 54 4x = -82 + 54 Combine like terms: -82 + 54 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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