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Simplifying (3x + -2 + 6y) + (7x + -2 + -1y) = 0 Reorder the terms: (-2 + 3x + 6y) + (7x + -2 + -1y) = 0 Remove parenthesis around (-2 + 3x + 6y) -2 + 3x + 6y + (7x + -2 + -1y) = 0 Reorder the terms: -2 + 3x + 6y + (-2 + 7x + -1y) = 0 Remove parenthesis around (-2 + 7x + -1y) -2 + 3x + 6y + -2 + 7x + -1y = 0 Reorder the terms: -2 + -2 + 3x + 7x + 6y + -1y = 0 Combine like terms: -2 + -2 = -4 -4 + 3x + 7x + 6y + -1y = 0 Combine like terms: 3x + 7x = 10x -4 + 10x + 6y + -1y = 0 Combine like terms: 6y + -1y = 5y -4 + 10x + 5y = 0 Solving -4 + 10x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 10x + 4 + 5y = 0 + 4 Reorder the terms: -4 + 4 + 10x + 5y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 10x + 5y = 0 + 4 10x + 5y = 0 + 4 Combine like terms: 0 + 4 = 4 10x + 5y = 4 Add '-5y' to each side of the equation. 10x + 5y + -5y = 4 + -5y Combine like terms: 5y + -5y = 0 10x + 0 = 4 + -5y 10x = 4 + -5y Divide each side by '10'. x = 0.4 + -0.5y Simplifying x = 0.4 + -0.5y
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