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Simplifying (61x + 51y) + -1(11x + 36y) = 0 Remove parenthesis around (61x + 51y) 61x + 51y + -1(11x + 36y) = 0 61x + 51y + (11x * -1 + 36y * -1) = 0 61x + 51y + (-11x + -36y) = 0 Reorder the terms: 61x + -11x + 51y + -36y = 0 Combine like terms: 61x + -11x = 50x 50x + 51y + -36y = 0 Combine like terms: 51y + -36y = 15y 50x + 15y = 0 Solving 50x + 15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. 50x + 15y + -15y = 0 + -15y Combine like terms: 15y + -15y = 0 50x + 0 = 0 + -15y 50x = 0 + -15y Remove the zero: 50x = -15y Divide each side by '50'. x = -0.3y Simplifying x = -0.3y
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