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Simplifying (55x + 61y) + -1(31x + -15y) = 0 Remove parenthesis around (55x + 61y) 55x + 61y + -1(31x + -15y) = 0 55x + 61y + (31x * -1 + -15y * -1) = 0 55x + 61y + (-31x + 15y) = 0 Reorder the terms: 55x + -31x + 61y + 15y = 0 Combine like terms: 55x + -31x = 24x 24x + 61y + 15y = 0 Combine like terms: 61y + 15y = 76y 24x + 76y = 0 Solving 24x + 76y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-76y' to each side of the equation. 24x + 76y + -76y = 0 + -76y Combine like terms: 76y + -76y = 0 24x + 0 = 0 + -76y 24x = 0 + -76y Remove the zero: 24x = -76y Divide each side by '24'. x = -3.166666667y Simplifying x = -3.166666667y
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