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Simplifying -3(2x + 4y) + 3(x + -1y) = 0 (2x * -3 + 4y * -3) + 3(x + -1y) = 0 (-6x + -12y) + 3(x + -1y) = 0 -6x + -12y + (x * 3 + -1y * 3) = 0 -6x + -12y + (3x + -3y) = 0 Reorder the terms: -6x + 3x + -12y + -3y = 0 Combine like terms: -6x + 3x = -3x -3x + -12y + -3y = 0 Combine like terms: -12y + -3y = -15y -3x + -15y = 0 Solving -3x + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. -3x + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 -3x + 0 = 0 + 15y -3x = 0 + 15y Remove the zero: -3x = 15y Divide each side by '-3'. x = -5y Simplifying x = -5y
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