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Simplifying (27x + -6y) + 4(9y + -5x) = 0 Remove parenthesis around (27x + -6y) 27x + -6y + 4(9y + -5x) = 0 Reorder the terms: 27x + -6y + 4(-5x + 9y) = 0 27x + -6y + (-5x * 4 + 9y * 4) = 0 27x + -6y + (-20x + 36y) = 0 Reorder the terms: 27x + -20x + -6y + 36y = 0 Combine like terms: 27x + -20x = 7x 7x + -6y + 36y = 0 Combine like terms: -6y + 36y = 30y 7x + 30y = 0 Solving 7x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30y' to each side of the equation. 7x + 30y + -30y = 0 + -30y Combine like terms: 30y + -30y = 0 7x + 0 = 0 + -30y 7x = 0 + -30y Remove the zero: 7x = -30y Divide each side by '7'. x = -4.285714286y Simplifying x = -4.285714286y
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