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Simplifying (6x + -3y) + -1(x + -6y) = 0 Remove parenthesis around (6x + -3y) 6x + -3y + -1(x + -6y) = 0 6x + -3y + (x * -1 + -6y * -1) = 0 6x + -3y + (-1x + 6y) = 0 Reorder the terms: 6x + -1x + -3y + 6y = 0 Combine like terms: 6x + -1x = 5x 5x + -3y + 6y = 0 Combine like terms: -3y + 6y = 3y 5x + 3y = 0 Solving 5x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 5x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 5x + 0 = 0 + -3y 5x = 0 + -3y Remove the zero: 5x = -3y Divide each side by '5'. x = -0.6y Simplifying x = -0.6y
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