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Simplifying 2(3x + -5(-2x + -1)) = -68 Reorder the terms: 2(3x + -5(-1 + -2x)) = -68 2(3x + (-1 * -5 + -2x * -5)) = -68 2(3x + (5 + 10x)) = -68 Reorder the terms: 2(5 + 3x + 10x) = -68 Combine like terms: 3x + 10x = 13x 2(5 + 13x) = -68 (5 * 2 + 13x * 2) = -68 (10 + 26x) = -68 Solving 10 + 26x = -68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 26x = -68 + -10 Combine like terms: 10 + -10 = 0 0 + 26x = -68 + -10 26x = -68 + -10 Combine like terms: -68 + -10 = -78 26x = -78 Divide each side by '26'. x = -3 Simplifying x = -3
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