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Simplifying (47x + 58y) + -1(22x + -23y) = 0 Remove parenthesis around (47x + 58y) 47x + 58y + -1(22x + -23y) = 0 47x + 58y + (22x * -1 + -23y * -1) = 0 47x + 58y + (-22x + 23y) = 0 Reorder the terms: 47x + -22x + 58y + 23y = 0 Combine like terms: 47x + -22x = 25x 25x + 58y + 23y = 0 Combine like terms: 58y + 23y = 81y 25x + 81y = 0 Solving 25x + 81y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81y' to each side of the equation. 25x + 81y + -81y = 0 + -81y Combine like terms: 81y + -81y = 0 25x + 0 = 0 + -81y 25x = 0 + -81y Remove the zero: 25x = -81y Divide each side by '25'. x = -3.24y Simplifying x = -3.24y
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