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Simplifying (61x + 90y) + -1(-31x + 4y) = 0 Remove parenthesis around (61x + 90y) 61x + 90y + -1(-31x + 4y) = 0 61x + 90y + (-31x * -1 + 4y * -1) = 0 61x + 90y + (31x + -4y) = 0 Reorder the terms: 61x + 31x + 90y + -4y = 0 Combine like terms: 61x + 31x = 92x 92x + 90y + -4y = 0 Combine like terms: 90y + -4y = 86y 92x + 86y = 0 Solving 92x + 86y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-86y' to each side of the equation. 92x + 86y + -86y = 0 + -86y Combine like terms: 86y + -86y = 0 92x + 0 = 0 + -86y 92x = 0 + -86y Remove the zero: 92x = -86y Divide each side by '92'. x = -0.9347826087y Simplifying x = -0.9347826087y
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