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Simplifying (35x + 69y) + (32x + -2y) = 0 Remove parenthesis around (35x + 69y) 35x + 69y + (32x + -2y) = 0 Remove parenthesis around (32x + -2y) 35x + 69y + 32x + -2y = 0 Reorder the terms: 35x + 32x + 69y + -2y = 0 Combine like terms: 35x + 32x = 67x 67x + 69y + -2y = 0 Combine like terms: 69y + -2y = 67y 67x + 67y = 0 Solving 67x + 67y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-67y' to each side of the equation. 67x + 67y + -67y = 0 + -67y Combine like terms: 67y + -67y = 0 67x + 0 = 0 + -67y 67x = 0 + -67y Remove the zero: 67x = -67y Divide each side by '67'. x = -1y Simplifying x = -1y
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