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Simplifying 6(x + y) + 2(2x + y) = 0 (x * 6 + y * 6) + 2(2x + y) = 0 (6x + 6y) + 2(2x + y) = 0 6x + 6y + (2x * 2 + y * 2) = 0 6x + 6y + (4x + 2y) = 0 Reorder the terms: 6x + 4x + 6y + 2y = 0 Combine like terms: 6x + 4x = 10x 10x + 6y + 2y = 0 Combine like terms: 6y + 2y = 8y 10x + 8y = 0 Solving 10x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 10x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 10x + 0 = 0 + -8y 10x = 0 + -8y Remove the zero: 10x = -8y Divide each side by '10'. x = -0.8y Simplifying x = -0.8y
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