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Simplifying 6 + -1(2x + 5y) + 9x + -5y = 0 6 + (2x * -1 + 5y * -1) + 9x + -5y = 0 6 + (-2x + -5y) + 9x + -5y = 0 Reorder the terms: 6 + -2x + 9x + -5y + -5y = 0 Combine like terms: -2x + 9x = 7x 6 + 7x + -5y + -5y = 0 Combine like terms: -5y + -5y = -10y 6 + 7x + -10y = 0 Solving 6 + 7x + -10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 7x + -6 + -10y = 0 + -6 Reorder the terms: 6 + -6 + 7x + -10y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x + -10y = 0 + -6 7x + -10y = 0 + -6 Combine like terms: 0 + -6 = -6 7x + -10y = -6 Add '10y' to each side of the equation. 7x + -10y + 10y = -6 + 10y Combine like terms: -10y + 10y = 0 7x + 0 = -6 + 10y 7x = -6 + 10y Divide each side by '7'. x = -0.8571428571 + 1.428571429y Simplifying x = -0.8571428571 + 1.428571429y
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