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Simplifying (3x + y) + -1(2X + Y) = 0 Remove parenthesis around (3x + y) 3x + y + -1(2X + Y) = 0 3x + y + (2X * -1 + Y * -1) = 0 3x + y + (-2X + -1Y) = 0 Reorder the terms: -2X + -1Y + 3x + y = 0 Solving -2X + -1Y + 3x + y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'Y' to each side of the equation. -2X + -1Y + 3x + Y + y = 0 + Y Reorder the terms: -2X + -1Y + Y + 3x + y = 0 + Y Combine like terms: -1Y + Y = 0 -2X + 0 + 3x + y = 0 + Y -2X + 3x + y = 0 + Y Remove the zero: -2X + 3x + y = Y Add '-3x' to each side of the equation. -2X + 3x + -3x + y = Y + -3x Combine like terms: 3x + -3x = 0 -2X + 0 + y = Y + -3x -2X + y = Y + -3x Add '-1y' to each side of the equation. -2X + y + -1y = Y + -3x + -1y Combine like terms: y + -1y = 0 -2X + 0 = Y + -3x + -1y -2X = Y + -3x + -1y Divide each side by '-2'. X = -0.5Y + 1.5x + 0.5y Simplifying X = -0.5Y + 1.5x + 0.5y
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