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Simplifying x + y + 8x + -6y + -10 = 0 Reorder the terms: -10 + x + 8x + y + -6y = 0 Combine like terms: x + 8x = 9x -10 + 9x + y + -6y = 0 Combine like terms: y + -6y = -5y -10 + 9x + -5y = 0 Solving -10 + 9x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 9x + 10 + -5y = 0 + 10 Reorder the terms: -10 + 10 + 9x + -5y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 9x + -5y = 0 + 10 9x + -5y = 0 + 10 Combine like terms: 0 + 10 = 10 9x + -5y = 10 Add '5y' to each side of the equation. 9x + -5y + 5y = 10 + 5y Combine like terms: -5y + 5y = 0 9x + 0 = 10 + 5y 9x = 10 + 5y Divide each side by '9'. x = 1.111111111 + 0.5555555556y Simplifying x = 1.111111111 + 0.5555555556y
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