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Simplifying 6(x + y) + 4(x + y) = 0 (x * 6 + y * 6) + 4(x + y) = 0 (6x + 6y) + 4(x + y) = 0 6x + 6y + (x * 4 + y * 4) = 0 6x + 6y + (4x + 4y) = 0 Reorder the terms: 6x + 4x + 6y + 4y = 0 Combine like terms: 6x + 4x = 10x 10x + 6y + 4y = 0 Combine like terms: 6y + 4y = 10y 10x + 10y = 0 Solving 10x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 10x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 10x + 0 = 0 + -10y 10x = 0 + -10y Remove the zero: 10x = -10y Divide each side by '10'. x = -1y Simplifying x = -1y
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