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Simplifying -3(2Y + -3X + 1) + 2(X + -1Y + 1) = 0 Reorder the terms: -3(1 + -3X + 2Y) + 2(X + -1Y + 1) = 0 (1 * -3 + -3X * -3 + 2Y * -3) + 2(X + -1Y + 1) = 0 (-3 + 9X + -6Y) + 2(X + -1Y + 1) = 0 Reorder the terms: -3 + 9X + -6Y + 2(1 + X + -1Y) = 0 -3 + 9X + -6Y + (1 * 2 + X * 2 + -1Y * 2) = 0 -3 + 9X + -6Y + (2 + 2X + -2Y) = 0 Reorder the terms: -3 + 2 + 9X + 2X + -6Y + -2Y = 0 Combine like terms: -3 + 2 = -1 -1 + 9X + 2X + -6Y + -2Y = 0 Combine like terms: 9X + 2X = 11X -1 + 11X + -6Y + -2Y = 0 Combine like terms: -6Y + -2Y = -8Y -1 + 11X + -8Y = 0 Solving -1 + 11X + -8Y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 11X + 1 + -8Y = 0 + 1 Reorder the terms: -1 + 1 + 11X + -8Y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 11X + -8Y = 0 + 1 11X + -8Y = 0 + 1 Combine like terms: 0 + 1 = 1 11X + -8Y = 1 Add '8Y' to each side of the equation. 11X + -8Y + 8Y = 1 + 8Y Combine like terms: -8Y + 8Y = 0 11X + 0 = 1 + 8Y 11X = 1 + 8Y Divide each side by '11'. X = 0.09090909091 + 0.7272727273Y Simplifying X = 0.09090909091 + 0.7272727273Y
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