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Simplifying 8x + -6y + -12x + 10y = 0 Reorder the terms: 8x + -12x + -6y + 10y = 0 Combine like terms: 8x + -12x = -4x -4x + -6y + 10y = 0 Combine like terms: -6y + 10y = 4y -4x + 4y = 0 Solving -4x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -4x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -4x + 0 = 0 + -4y -4x = 0 + -4y Remove the zero: -4x = -4y Divide each side by '-4'. x = y Simplifying x = y
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