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Simplifying 5(x + 2y) + 6(x + -3y) = 0 (x * 5 + 2y * 5) + 6(x + -3y) = 0 (5x + 10y) + 6(x + -3y) = 0 5x + 10y + (x * 6 + -3y * 6) = 0 5x + 10y + (6x + -18y) = 0 Reorder the terms: 5x + 6x + 10y + -18y = 0 Combine like terms: 5x + 6x = 11x 11x + 10y + -18y = 0 Combine like terms: 10y + -18y = -8y 11x + -8y = 0 Solving 11x + -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. 11x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 11x + 0 = 0 + 8y 11x = 0 + 8y Remove the zero: 11x = 8y Divide each side by '11'. x = 0.7272727273y Simplifying x = 0.7272727273y
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