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Simplifying 3(x + y) + 4(y + x) = 0 (x * 3 + y * 3) + 4(y + x) = 0 (3x + 3y) + 4(y + x) = 0 Reorder the terms: 3x + 3y + 4(x + y) = 0 3x + 3y + (x * 4 + y * 4) = 0 3x + 3y + (4x + 4y) = 0 Reorder the terms: 3x + 4x + 3y + 4y = 0 Combine like terms: 3x + 4x = 7x 7x + 3y + 4y = 0 Combine like terms: 3y + 4y = 7y 7x + 7y = 0 Solving 7x + 7y = 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. 7x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 7x + 0 = 0 + -7y 7x = 0 + -7y Remove the zero: 7x = -7y Divide each side by '7'. x = -1y Simplifying x = -1y
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