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Simplifying 5x + 6y + -1 + x + (-9y) + 2 = 0 Reorder the terms: -1 + 2 + 5x + x + 6y + (-9y) = 0 Combine like terms: -1 + 2 = 1 1 + 5x + x + 6y + (-9y) = 0 Combine like terms: 5x + x = 6x 1 + 6x + 6y + (-9y) = 0 Combine like terms: 6y + (-9y) = -3y 1 + 6x + -3y = 0 Solving 1 + 6x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6x + -1 + -3y = 0 + -1 Reorder the terms: 1 + -1 + 6x + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x + -3y = 0 + -1 6x + -3y = 0 + -1 Combine like terms: 0 + -1 = -1 6x + -3y = -1 Add '3y' to each side of the equation. 6x + -3y + 3y = -1 + 3y Combine like terms: -3y + 3y = 0 6x + 0 = -1 + 3y 6x = -1 + 3y Divide each side by '6'. x = -0.1666666667 + 0.5y Simplifying x = -0.1666666667 + 0.5y
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