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Simplifying 7(2X + Y) + -3(3X + -2Y) = 0 (2X * 7 + Y * 7) + -3(3X + -2Y) = 0 (14X + 7Y) + -3(3X + -2Y) = 0 14X + 7Y + (3X * -3 + -2Y * -3) = 0 14X + 7Y + (-9X + 6Y) = 0 Reorder the terms: 14X + -9X + 7Y + 6Y = 0 Combine like terms: 14X + -9X = 5X 5X + 7Y + 6Y = 0 Combine like terms: 7Y + 6Y = 13Y 5X + 13Y = 0 Solving 5X + 13Y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-13Y' to each side of the equation. 5X + 13Y + -13Y = 0 + -13Y Combine like terms: 13Y + -13Y = 0 5X + 0 = 0 + -13Y 5X = 0 + -13Y Remove the zero: 5X = -13Y Divide each side by '5'. X = -2.6Y Simplifying X = -2.6Y
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