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Simplifying (3x + y) + (4x + 3y) = 0 Remove parenthesis around (3x + y) 3x + y + (4x + 3y) = 0 Remove parenthesis around (4x + 3y) 3x + y + 4x + 3y = 0 Reorder the terms: 3x + 4x + y + 3y = 0 Combine like terms: 3x + 4x = 7x 7x + y + 3y = 0 Combine like terms: y + 3y = 4y 7x + 4y = 0 Solving 7x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 7x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 7x + 0 = 0 + -4y 7x = 0 + -4y Remove the zero: 7x = -4y Divide each side by '7'. x = -0.5714285714y Simplifying x = -0.5714285714y
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