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Simplifying 3x + 4y + -1x + -1y + -10 + 6y = 0 Reorder the terms: -10 + 3x + -1x + 4y + -1y + 6y = 0 Combine like terms: 3x + -1x = 2x -10 + 2x + 4y + -1y + 6y = 0 Combine like terms: 4y + -1y = 3y -10 + 2x + 3y + 6y = 0 Combine like terms: 3y + 6y = 9y -10 + 2x + 9y = 0 Solving -10 + 2x + 9y = 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 + 2x + 10 + 9y = 0 + 10 Reorder the terms: -10 + 10 + 2x + 9y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2x + 9y = 0 + 10 2x + 9y = 0 + 10 Combine like terms: 0 + 10 = 10 2x + 9y = 10 Add '-9y' to each side of the equation. 2x + 9y + -9y = 10 + -9y Combine like terms: 9y + -9y = 0 2x + 0 = 10 + -9y 2x = 10 + -9y Divide each side by '2'. x = 5 + -4.5y Simplifying x = 5 + -4.5y
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