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Simplifying (54x + 59y) + -1(23x + -23y) = 0 Remove parenthesis around (54x + 59y) 54x + 59y + -1(23x + -23y) = 0 54x + 59y + (23x * -1 + -23y * -1) = 0 54x + 59y + (-23x + 23y) = 0 Reorder the terms: 54x + -23x + 59y + 23y = 0 Combine like terms: 54x + -23x = 31x 31x + 59y + 23y = 0 Combine like terms: 59y + 23y = 82y 31x + 82y = 0 Solving 31x + 82y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-82y' to each side of the equation. 31x + 82y + -82y = 0 + -82y Combine like terms: 82y + -82y = 0 31x + 0 = 0 + -82y 31x = 0 + -82y Remove the zero: 31x = -82y Divide each side by '31'. x = -2.64516129y Simplifying x = -2.64516129y
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