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Simplifying -82 = -2x + 2(-4x + 9) Reorder the terms: -82 = -2x + 2(9 + -4x) -82 = -2x + (9 * 2 + -4x * 2) -82 = -2x + (18 + -8x) Reorder the terms: -82 = 18 + -2x + -8x Combine like terms: -2x + -8x = -10x -82 = 18 + -10x Solving -82 = 18 + -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 + 10x = 18 + -10x + 10x Combine like terms: -10x + 10x = 0 -82 + 10x = 18 + 0 -82 + 10x = 18 Add '82' to each side of the equation. -82 + 82 + 10x = 18 + 82 Combine like terms: -82 + 82 = 0 0 + 10x = 18 + 82 10x = 18 + 82 Combine like terms: 18 + 82 = 100 10x = 100 Divide each side by '10'. x = 10 Simplifying x = 10
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