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Simplifying -4(4x + y) + -1(6y + -6x) = 0 (4x * -4 + y * -4) + -1(6y + -6x) = 0 (-16x + -4y) + -1(6y + -6x) = 0 Reorder the terms: -16x + -4y + -1(-6x + 6y) = 0 -16x + -4y + (-6x * -1 + 6y * -1) = 0 -16x + -4y + (6x + -6y) = 0 Reorder the terms: -16x + 6x + -4y + -6y = 0 Combine like terms: -16x + 6x = -10x -10x + -4y + -6y = 0 Combine like terms: -4y + -6y = -10y -10x + -10y = 0 Solving -10x + -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. -10x + -10y + 10y = 0 + 10y Combine like terms: -10y + 10y = 0 -10x + 0 = 0 + 10y -10x = 0 + 10y Remove the zero: -10x = 10y Divide each side by '-10'. x = -1y Simplifying x = -1y
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