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Simplifying (47x + 59y) + -1(31x + -2y) = 0 Remove parenthesis around (47x + 59y) 47x + 59y + -1(31x + -2y) = 0 47x + 59y + (31x * -1 + -2y * -1) = 0 47x + 59y + (-31x + 2y) = 0 Reorder the terms: 47x + -31x + 59y + 2y = 0 Combine like terms: 47x + -31x = 16x 16x + 59y + 2y = 0 Combine like terms: 59y + 2y = 61y 16x + 61y = 0 Solving 16x + 61y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61y' to each side of the equation. 16x + 61y + -61y = 0 + -61y Combine like terms: 61y + -61y = 0 16x + 0 = 0 + -61y 16x = 0 + -61y Remove the zero: 16x = -61y Divide each side by '16'. x = -3.8125y Simplifying x = -3.8125y
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