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Simplifying -7(4xy + 6y) + 10y(2x + 8y) = 0 (4xy * -7 + 6y * -7) + 10y(2x + 8y) = 0 (-28xy + -42y) + 10y(2x + 8y) = 0 -28xy + -42y + (2x * 10y + 8y * 10y) = 0 -28xy + -42y + (20xy + 80y2) = 0 Reorder the terms: -28xy + 20xy + -42y + 80y2 = 0 Combine like terms: -28xy + 20xy = -8xy -8xy + -42y + 80y2 = 0 Solving -8xy + -42y + 80y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42y' to each side of the equation. -8xy + -42y + 42y + 80y2 = 0 + 42y Combine like terms: -42y + 42y = 0 -8xy + 0 + 80y2 = 0 + 42y -8xy + 80y2 = 0 + 42y Remove the zero: -8xy + 80y2 = 42y Add '-80y2' to each side of the equation. -8xy + 80y2 + -80y2 = 42y + -80y2 Combine like terms: 80y2 + -80y2 = 0 -8xy + 0 = 42y + -80y2 -8xy = 42y + -80y2 Divide each side by '-8y'. x = -5.25 + 10y Simplifying x = -5.25 + 10y
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