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Simplifying (49x + 69y) + -1(-31x + 8y) = 0 Remove parenthesis around (49x + 69y) 49x + 69y + -1(-31x + 8y) = 0 49x + 69y + (-31x * -1 + 8y * -1) = 0 49x + 69y + (31x + -8y) = 0 Reorder the terms: 49x + 31x + 69y + -8y = 0 Combine like terms: 49x + 31x = 80x 80x + 69y + -8y = 0 Combine like terms: 69y + -8y = 61y 80x + 61y = 0 Solving 80x + 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. 80x + 61y + -61y = 0 + -61y Combine like terms: 61y + -61y = 0 80x + 0 = 0 + -61y 80x = 0 + -61y Remove the zero: 80x = -61y Divide each side by '80'. x = -0.7625y Simplifying x = -0.7625y
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