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Simplifying 7x + -2(-3x + 2) = -82 Reorder the terms: 7x + -2(2 + -3x) = -82 7x + (2 * -2 + -3x * -2) = -82 7x + (-4 + 6x) = -82 Reorder the terms: -4 + 7x + 6x = -82 Combine like terms: 7x + 6x = 13x -4 + 13x = -82 Solving -4 + 13x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 13x = -82 + 4 Combine like terms: -4 + 4 = 0 0 + 13x = -82 + 4 13x = -82 + 4 Combine like terms: -82 + 4 = -78 13x = -78 Divide each side by '13'. x = -6 Simplifying x = -6
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