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Simplifying (2x + 3y) + (4x + y) = 0 Remove parenthesis around (2x + 3y) 2x + 3y + (4x + y) = 0 Remove parenthesis around (4x + y) 2x + 3y + 4x + y = 0 Reorder the terms: 2x + 4x + 3y + y = 0 Combine like terms: 2x + 4x = 6x 6x + 3y + y = 0 Combine like terms: 3y + y = 4y 6x + 4y = 0 Solving 6x + 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. 6x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 6x + 0 = 0 + -4y 6x = 0 + -4y Remove the zero: 6x = -4y Divide each side by '6'. x = -0.6666666667y Simplifying x = -0.6666666667y
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