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Simplifying (3x + -2y) + -1(x + -6y) = 0 Remove parenthesis around (3x + -2y) 3x + -2y + -1(x + -6y) = 0 3x + -2y + (x * -1 + -6y * -1) = 0 3x + -2y + (-1x + 6y) = 0 Reorder the terms: 3x + -1x + -2y + 6y = 0 Combine like terms: 3x + -1x = 2x 2x + -2y + 6y = 0 Combine like terms: -2y + 6y = 4y 2x + 4y = 0 Solving 2x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 2x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 2x + 0 = 0 + -4y 2x = 0 + -4y Remove the zero: 2x = -4y Divide each side by '2'. x = -2y Simplifying x = -2y
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