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Simplifying 6(-2x + -1y) + -4(x + y) = 0 (-2x * 6 + -1y * 6) + -4(x + y) = 0 (-12x + -6y) + -4(x + y) = 0 -12x + -6y + (x * -4 + y * -4) = 0 -12x + -6y + (-4x + -4y) = 0 Reorder the terms: -12x + -4x + -6y + -4y = 0 Combine like terms: -12x + -4x = -16x -16x + -6y + -4y = 0 Combine like terms: -6y + -4y = -10y -16x + -10y = 0 Solving -16x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. -16x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 -16x + 0 = 0 + 10y -16x = 0 + 10y Remove the zero: -16x = 10y Divide each side by '-16'. x = -0.625y Simplifying x = -0.625y
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