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Simplifying 4x + -5(-6y + 5x) + 5y = 0 Reorder the terms: 4x + -5(5x + -6y) + 5y = 0 4x + (5x * -5 + -6y * -5) + 5y = 0 4x + (-25x + 30y) + 5y = 0 Combine like terms: 4x + -25x = -21x -21x + 30y + 5y = 0 Combine like terms: 30y + 5y = 35y -21x + 35y = 0 Solving -21x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35y' to each side of the equation. -21x + 35y + -35y = 0 + -35y Combine like terms: 35y + -35y = 0 -21x + 0 = 0 + -35y -21x = 0 + -35y Remove the zero: -21x = -35y Divide each side by '-21'. x = 1.666666667y Simplifying x = 1.666666667y
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