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Simplifying 7x + 5y + -5(4x + -7y) = 0 7x + 5y + (4x * -5 + -7y * -5) = 0 7x + 5y + (-20x + 35y) = 0 Reorder the terms: 7x + -20x + 5y + 35y = 0 Combine like terms: 7x + -20x = -13x -13x + 5y + 35y = 0 Combine like terms: 5y + 35y = 40y -13x + 40y = 0 Solving -13x + 40y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40y' to each side of the equation. -13x + 40y + -40y = 0 + -40y Combine like terms: 40y + -40y = 0 -13x + 0 = 0 + -40y -13x = 0 + -40y Remove the zero: -13x = -40y Divide each side by '-13'. x = 3.076923077y Simplifying x = 3.076923077y
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