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Simplifying (65x + 69y) + -1(-31x + 12y) = 0 Remove parenthesis around (65x + 69y) 65x + 69y + -1(-31x + 12y) = 0 65x + 69y + (-31x * -1 + 12y * -1) = 0 65x + 69y + (31x + -12y) = 0 Reorder the terms: 65x + 31x + 69y + -12y = 0 Combine like terms: 65x + 31x = 96x 96x + 69y + -12y = 0 Combine like terms: 69y + -12y = 57y 96x + 57y = 0 Solving 96x + 57y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-57y' to each side of the equation. 96x + 57y + -57y = 0 + -57y Combine like terms: 57y + -57y = 0 96x + 0 = 0 + -57y 96x = 0 + -57y Remove the zero: 96x = -57y Divide each side by '96'. x = -0.59375y Simplifying x = -0.59375y
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