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Simplifying (45x + 63y) + -1(19x + -22y) = 0 Remove parenthesis around (45x + 63y) 45x + 63y + -1(19x + -22y) = 0 45x + 63y + (19x * -1 + -22y * -1) = 0 45x + 63y + (-19x + 22y) = 0 Reorder the terms: 45x + -19x + 63y + 22y = 0 Combine like terms: 45x + -19x = 26x 26x + 63y + 22y = 0 Combine like terms: 63y + 22y = 85y 26x + 85y = 0 Solving 26x + 85y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-85y' to each side of the equation. 26x + 85y + -85y = 0 + -85y Combine like terms: 85y + -85y = 0 26x + 0 = 0 + -85y 26x = 0 + -85y Remove the zero: 26x = -85y Divide each side by '26'. x = -3.269230769y Simplifying x = -3.269230769y
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