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Simplifying X + -1(1 + -3X) = 2X + -1(-1X + -3) X + (1 * -1 + -3X * -1) = 2X + -1(-1X + -3) X + (-1 + 3X) = 2X + -1(-1X + -3) Reorder the terms: -1 + X + 3X = 2X + -1(-1X + -3) Combine like terms: X + 3X = 4X -1 + 4X = 2X + -1(-1X + -3) Reorder the terms: -1 + 4X = 2X + -1(-3 + -1X) -1 + 4X = 2X + (-3 * -1 + -1X * -1) -1 + 4X = 2X + (3 + 1X) Reorder the terms: -1 + 4X = 3 + 2X + 1X Combine like terms: 2X + 1X = 3X -1 + 4X = 3 + 3X Solving -1 + 4X = 3 + 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. -1 + 4X + -3X = 3 + 3X + -3X Combine like terms: 4X + -3X = 1X -1 + 1X = 3 + 3X + -3X Combine like terms: 3X + -3X = 0 -1 + 1X = 3 + 0 -1 + 1X = 3 Add '1' to each side of the equation. -1 + 1 + 1X = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 1X = 3 + 1 1X = 3 + 1 Combine like terms: 3 + 1 = 4 1X = 4 Divide each side by '1'. X = 4 Simplifying X = 4
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