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Simplifying 5(-2x + -4y) + -4(7y + -1x) = 0 (-2x * 5 + -4y * 5) + -4(7y + -1x) = 0 (-10x + -20y) + -4(7y + -1x) = 0 Reorder the terms: -10x + -20y + -4(-1x + 7y) = 0 -10x + -20y + (-1x * -4 + 7y * -4) = 0 -10x + -20y + (4x + -28y) = 0 Reorder the terms: -10x + 4x + -20y + -28y = 0 Combine like terms: -10x + 4x = -6x -6x + -20y + -28y = 0 Combine like terms: -20y + -28y = -48y -6x + -48y = 0 Solving -6x + -48y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48y' to each side of the equation. -6x + -48y + 48y = 0 + 48y Combine like terms: -48y + 48y = 0 -6x + 0 = 0 + 48y -6x = 0 + 48y Remove the zero: -6x = 48y Divide each side by '-6'. x = -8y Simplifying x = -8y
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