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Simplifying (3x + -6y) + -1(6x + -2y) = 0 Remove parenthesis around (3x + -6y) 3x + -6y + -1(6x + -2y) = 0 3x + -6y + (6x * -1 + -2y * -1) = 0 3x + -6y + (-6x + 2y) = 0 Reorder the terms: 3x + -6x + -6y + 2y = 0 Combine like terms: 3x + -6x = -3x -3x + -6y + 2y = 0 Combine like terms: -6y + 2y = -4y -3x + -4y = 0 Solving -3x + -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. -3x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 -3x + 0 = 0 + 4y -3x = 0 + 4y Remove the zero: -3x = 4y Divide each side by '-3'. x = -1.333333333y Simplifying x = -1.333333333y
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