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Simplifying 3(x + 3y) + -1(2x + 4y) = 0 (x * 3 + 3y * 3) + -1(2x + 4y) = 0 (3x + 9y) + -1(2x + 4y) = 0 3x + 9y + (2x * -1 + 4y * -1) = 0 3x + 9y + (-2x + -4y) = 0 Reorder the terms: 3x + -2x + 9y + -4y = 0 Combine like terms: 3x + -2x = 1x 1x + 9y + -4y = 0 Combine like terms: 9y + -4y = 5y 1x + 5y = 0 Solving 1x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 1x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 1x + 0 = 0 + -5y 1x = 0 + -5y Remove the zero: 1x = -5y Divide each side by '1'. x = -5y Simplifying x = -5y
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