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Simplifying 7(x + y) + 3(2x + -3y) = 0 (x * 7 + y * 7) + 3(2x + -3y) = 0 (7x + 7y) + 3(2x + -3y) = 0 7x + 7y + (2x * 3 + -3y * 3) = 0 7x + 7y + (6x + -9y) = 0 Reorder the terms: 7x + 6x + 7y + -9y = 0 Combine like terms: 7x + 6x = 13x 13x + 7y + -9y = 0 Combine like terms: 7y + -9y = -2y 13x + -2y = 0 Solving 13x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 13x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 13x + 0 = 0 + 2y 13x = 0 + 2y Remove the zero: 13x = 2y Divide each side by '13'. x = 0.1538461538y Simplifying x = 0.1538461538y
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