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Simplifying 13x + 5y + -6X + 7Y = 0 Reorder the terms: -6X + 7Y + 13x + 5y = 0 Solving -6X + 7Y + 13x + 5y = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7Y' to each side of the equation. -6X + 7Y + 13x + -7Y + 5y = 0 + -7Y Reorder the terms: -6X + 7Y + -7Y + 13x + 5y = 0 + -7Y Combine like terms: 7Y + -7Y = 0 -6X + 0 + 13x + 5y = 0 + -7Y -6X + 13x + 5y = 0 + -7Y Remove the zero: -6X + 13x + 5y = -7Y Add '-13x' to each side of the equation. -6X + 13x + -13x + 5y = -7Y + -13x Combine like terms: 13x + -13x = 0 -6X + 0 + 5y = -7Y + -13x -6X + 5y = -7Y + -13x Add '-5y' to each side of the equation. -6X + 5y + -5y = -7Y + -13x + -5y Combine like terms: 5y + -5y = 0 -6X + 0 = -7Y + -13x + -5y -6X = -7Y + -13x + -5y Divide each side by '-6'. X = 1.166666667Y + 2.166666667x + 0.8333333333y Simplifying X = 1.166666667Y + 2.166666667x + 0.8333333333y
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