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Simplifying X + -2(5 + 3X + -1(5X + -1(6 + X))) = -37 X + -2(5 + 3X + -1(5X + (6 * -1 + X * -1))) = -37 X + -2(5 + 3X + -1(5X + (-6 + -1X))) = -37 Reorder the terms: X + -2(5 + 3X + -1(-6 + 5X + -1X)) = -37 Combine like terms: 5X + -1X = 4X X + -2(5 + 3X + -1(-6 + 4X)) = -37 X + -2(5 + 3X + (-6 * -1 + 4X * -1)) = -37 X + -2(5 + 3X + (6 + -4X)) = -37 Reorder the terms: X + -2(5 + 6 + 3X + -4X) = -37 Combine like terms: 5 + 6 = 11 X + -2(11 + 3X + -4X) = -37 Combine like terms: 3X + -4X = -1X X + -2(11 + -1X) = -37 X + (11 * -2 + -1X * -2) = -37 X + (-22 + 2X) = -37 Reorder the terms: -22 + X + 2X = -37 Combine like terms: X + 2X = 3X -22 + 3X = -37 Solving -22 + 3X = -37 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 3X = -37 + 22 Combine like terms: -22 + 22 = 0 0 + 3X = -37 + 22 3X = -37 + 22 Combine like terms: -37 + 22 = -15 3X = -15 Divide each side by '3'. X = -5 Simplifying X = -5
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