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Simplifying (61x + 51y) + -1(26x + 2y) = 0 Remove parenthesis around (61x + 51y) 61x + 51y + -1(26x + 2y) = 0 61x + 51y + (26x * -1 + 2y * -1) = 0 61x + 51y + (-26x + -2y) = 0 Reorder the terms: 61x + -26x + 51y + -2y = 0 Combine like terms: 61x + -26x = 35x 35x + 51y + -2y = 0 Combine like terms: 51y + -2y = 49y 35x + 49y = 0 Solving 35x + 49y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49y' to each side of the equation. 35x + 49y + -49y = 0 + -49y Combine like terms: 49y + -49y = 0 35x + 0 = 0 + -49y 35x = 0 + -49y Remove the zero: 35x = -49y Divide each side by '35'. x = -1.4y Simplifying x = -1.4y
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