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Simplifying 5(x + 2y) + 6x = 0 (x * 5 + 2y * 5) + 6x = 0 (5x + 10y) + 6x = 0 Reorder the terms: 5x + 6x + 10y = 0 Combine like terms: 5x + 6x = 11x 11x + 10y = 0 Solving 11x + 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. 11x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 11x + 0 = 0 + -10y 11x = 0 + -10y Remove the zero: 11x = -10y Divide each side by '11'. x = -0.9090909091y Simplifying x = -0.9090909091y
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