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Simplifying 7x + 8y + -9(5x + -5y) = 0 7x + 8y + (5x * -9 + -5y * -9) = 0 7x + 8y + (-45x + 45y) = 0 Reorder the terms: 7x + -45x + 8y + 45y = 0 Combine like terms: 7x + -45x = -38x -38x + 8y + 45y = 0 Combine like terms: 8y + 45y = 53y -38x + 53y = 0 Solving -38x + 53y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53y' to each side of the equation. -38x + 53y + -53y = 0 + -53y Combine like terms: 53y + -53y = 0 -38x + 0 = 0 + -53y -38x = 0 + -53y Remove the zero: -38x = -53y Divide each side by '-38'. x = 1.394736842y Simplifying x = 1.394736842y
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