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Simplifying 5x + -4y + -7x + -10y = 0 Reorder the terms: 5x + -7x + -4y + -10y = 0 Combine like terms: 5x + -7x = -2x -2x + -4y + -10y = 0 Combine like terms: -4y + -10y = -14y -2x + -14y = 0 Solving -2x + -14y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14y' to each side of the equation. -2x + -14y + 14y = 0 + 14y Combine like terms: -14y + 14y = 0 -2x + 0 = 0 + 14y -2x = 0 + 14y Remove the zero: -2x = 14y Divide each side by '-2'. x = -7y Simplifying x = -7y
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