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Simplifying 13 + -2x + -1(X + 1) = 3(X + 4) Reorder the terms: 13 + -2x + -1(1 + X) = 3(X + 4) 13 + -2x + (1 * -1 + X * -1) = 3(X + 4) 13 + -2x + (-1 + -1X) = 3(X + 4) Reorder the terms: 13 + -1 + -1X + -2x = 3(X + 4) Combine like terms: 13 + -1 = 12 12 + -1X + -2x = 3(X + 4) Reorder the terms: 12 + -1X + -2x = 3(4 + X) 12 + -1X + -2x = (4 * 3 + X * 3) 12 + -1X + -2x = (12 + 3X) Add '-12' to each side of the equation. 12 + -1X + -12 + -2x = 12 + -12 + 3X Reorder the terms: 12 + -12 + -1X + -2x = 12 + -12 + 3X Combine like terms: 12 + -12 = 0 0 + -1X + -2x = 12 + -12 + 3X -1X + -2x = 12 + -12 + 3X Combine like terms: 12 + -12 = 0 -1X + -2x = 0 + 3X -1X + -2x = 3X Solving -1X + -2x = 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. -1X + -3X + -2x = 3X + -3X Combine like terms: -1X + -3X = -4X -4X + -2x = 3X + -3X Combine like terms: 3X + -3X = 0 -4X + -2x = 0 Add '2x' to each side of the equation. -4X + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 -4X + 0 = 0 + 2x -4X = 0 + 2x Remove the zero: -4X = 2x Divide each side by '-4'. X = -0.5x Simplifying X = -0.5x
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