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Simplifying -4(2x + 3y) + -1(4x + 3y) = 0 (2x * -4 + 3y * -4) + -1(4x + 3y) = 0 (-8x + -12y) + -1(4x + 3y) = 0 -8x + -12y + (4x * -1 + 3y * -1) = 0 -8x + -12y + (-4x + -3y) = 0 Reorder the terms: -8x + -4x + -12y + -3y = 0 Combine like terms: -8x + -4x = -12x -12x + -12y + -3y = 0 Combine like terms: -12y + -3y = -15y -12x + -15y = 0 Solving -12x + -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. -12x + -15y + 15y = 0 + 15y Combine like terms: -15y + 15y = 0 -12x + 0 = 0 + 15y -12x = 0 + 15y Remove the zero: -12x = 15y Divide each side by '-12'. x = -1.25y Simplifying x = -1.25y
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