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Simplifying 7x + 5(x + -1y) + -1y = 0 7x + (x * 5 + -1y * 5) + -1y = 0 7x + (5x + -5y) + -1y = 0 Combine like terms: 7x + 5x = 12x 12x + -5y + -1y = 0 Combine like terms: -5y + -1y = -6y 12x + -6y = 0 Solving 12x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 12x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 12x + 0 = 0 + 6y 12x = 0 + 6y Remove the zero: 12x = 6y Divide each side by '12'. x = 0.5y Simplifying x = 0.5y
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