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Simplifying -82 = -4x + -2(3x + -4) Reorder the terms: -82 = -4x + -2(-4 + 3x) -82 = -4x + (-4 * -2 + 3x * -2) -82 = -4x + (8 + -6x) Reorder the terms: -82 = 8 + -4x + -6x Combine like terms: -4x + -6x = -10x -82 = 8 + -10x Solving -82 = 8 + -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 = 8 + -10x + 10x Combine like terms: -10x + 10x = 0 -82 + 10x = 8 + 0 -82 + 10x = 8 Add '82' to each side of the equation. -82 + 82 + 10x = 8 + 82 Combine like terms: -82 + 82 = 0 0 + 10x = 8 + 82 10x = 8 + 82 Combine like terms: 8 + 82 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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