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Simplifying -1(5X + (7X + 3)) = 6 + -1(3X + 2) Reorder the terms: -1(5X + (3 + 7X)) = 6 + -1(3X + 2) Remove parenthesis around (3 + 7X) -1(5X + 3 + 7X) = 6 + -1(3X + 2) Reorder the terms: -1(3 + 5X + 7X) = 6 + -1(3X + 2) Combine like terms: 5X + 7X = 12X -1(3 + 12X) = 6 + -1(3X + 2) (3 * -1 + 12X * -1) = 6 + -1(3X + 2) (-3 + -12X) = 6 + -1(3X + 2) Reorder the terms: -3 + -12X = 6 + -1(2 + 3X) -3 + -12X = 6 + (2 * -1 + 3X * -1) -3 + -12X = 6 + (-2 + -3X) Combine like terms: 6 + -2 = 4 -3 + -12X = 4 + -3X Solving -3 + -12X = 4 + -3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3X' to each side of the equation. -3 + -12X + 3X = 4 + -3X + 3X Combine like terms: -12X + 3X = -9X -3 + -9X = 4 + -3X + 3X Combine like terms: -3X + 3X = 0 -3 + -9X = 4 + 0 -3 + -9X = 4 Add '3' to each side of the equation. -3 + 3 + -9X = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -9X = 4 + 3 -9X = 4 + 3 Combine like terms: 4 + 3 = 7 -9X = 7 Divide each side by '-9'. X = -0.7777777778 Simplifying X = -0.7777777778
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