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