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Simplifying (3X + -1) + -1(5X + 2) = 5 + -1(5X + -1X + -2) Reorder the terms: (-1 + 3X) + -1(5X + 2) = 5 + -1(5X + -1X + -2) Remove parenthesis around (-1 + 3X) -1 + 3X + -1(5X + 2) = 5 + -1(5X + -1X + -2) Reorder the terms: -1 + 3X + -1(2 + 5X) = 5 + -1(5X + -1X + -2) -1 + 3X + (2 * -1 + 5X * -1) = 5 + -1(5X + -1X + -2) -1 + 3X + (-2 + -5X) = 5 + -1(5X + -1X + -2) Reorder the terms: -1 + -2 + 3X + -5X = 5 + -1(5X + -1X + -2) Combine like terms: -1 + -2 = -3 -3 + 3X + -5X = 5 + -1(5X + -1X + -2) Combine like terms: 3X + -5X = -2X -3 + -2X = 5 + -1(5X + -1X + -2) Reorder the terms: -3 + -2X = 5 + -1(-2 + 5X + -1X) Combine like terms: 5X + -1X = 4X -3 + -2X = 5 + -1(-2 + 4X) -3 + -2X = 5 + (-2 * -1 + 4X * -1) -3 + -2X = 5 + (2 + -4X) Combine like terms: 5 + 2 = 7 -3 + -2X = 7 + -4X Solving -3 + -2X = 7 + -4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. -3 + -2X + 4X = 7 + -4X + 4X Combine like terms: -2X + 4X = 2X -3 + 2X = 7 + -4X + 4X Combine like terms: -4X + 4X = 0 -3 + 2X = 7 + 0 -3 + 2X = 7 Add '3' to each side of the equation. -3 + 3 + 2X = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 2X = 7 + 3 2X = 7 + 3 Combine like terms: 7 + 3 = 10 2X = 10 Divide each side by '2'. X = 5 Simplifying X = 5
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