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Simplifying 2(x + y) + 3(y + -3x) = 0 (x * 2 + y * 2) + 3(y + -3x) = 0 (2x + 2y) + 3(y + -3x) = 0 Reorder the terms: 2x + 2y + 3(-3x + y) = 0 2x + 2y + (-3x * 3 + y * 3) = 0 2x + 2y + (-9x + 3y) = 0 Reorder the terms: 2x + -9x + 2y + 3y = 0 Combine like terms: 2x + -9x = -7x -7x + 2y + 3y = 0 Combine like terms: 2y + 3y = 5y -7x + 5y = 0 Solving -7x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -7x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -7x + 0 = 0 + -5y -7x = 0 + -5y Remove the zero: -7x = -5y Divide each side by '-7'. x = 0.7142857143y Simplifying x = 0.7142857143y
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