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Simplifying 7(x + 3y) + 4(x + 2y) = 0 (x * 7 + 3y * 7) + 4(x + 2y) = 0 (7x + 21y) + 4(x + 2y) = 0 7x + 21y + (x * 4 + 2y * 4) = 0 7x + 21y + (4x + 8y) = 0 Reorder the terms: 7x + 4x + 21y + 8y = 0 Combine like terms: 7x + 4x = 11x 11x + 21y + 8y = 0 Combine like terms: 21y + 8y = 29y 11x + 29y = 0 Solving 11x + 29y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29y' to each side of the equation. 11x + 29y + -29y = 0 + -29y Combine like terms: 29y + -29y = 0 11x + 0 = 0 + -29y 11x = 0 + -29y Remove the zero: 11x = -29y Divide each side by '11'. x = -2.636363636y Simplifying x = -2.636363636y
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