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Simplifying (3x + -6y + -1) + (-1x + y + 10) = 0 Reorder the terms: (-1 + 3x + -6y) + (-1x + y + 10) = 0 Remove parenthesis around (-1 + 3x + -6y) -1 + 3x + -6y + (-1x + y + 10) = 0 Reorder the terms: -1 + 3x + -6y + (10 + -1x + y) = 0 Remove parenthesis around (10 + -1x + y) -1 + 3x + -6y + 10 + -1x + y = 0 Reorder the terms: -1 + 10 + 3x + -1x + -6y + y = 0 Combine like terms: -1 + 10 = 9 9 + 3x + -1x + -6y + y = 0 Combine like terms: 3x + -1x = 2x 9 + 2x + -6y + y = 0 Combine like terms: -6y + y = -5y 9 + 2x + -5y = 0 Solving 9 + 2x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2x + -9 + -5y = 0 + -9 Reorder the terms: 9 + -9 + 2x + -5y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x + -5y = 0 + -9 2x + -5y = 0 + -9 Combine like terms: 0 + -9 = -9 2x + -5y = -9 Add '5y' to each side of the equation. 2x + -5y + 5y = -9 + 5y Combine like terms: -5y + 5y = 0 2x + 0 = -9 + 5y 2x = -9 + 5y Divide each side by '2'. x = -4.5 + 2.5y Simplifying x = -4.5 + 2.5y
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