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Simplifying 6(x + y) + (x + -1y) = 0 (x * 6 + y * 6) + (x + -1y) = 0 (6x + 6y) + (x + -1y) = 0 Remove parenthesis around (x + -1y) 6x + 6y + x + -1y = 0 Reorder the terms: 6x + x + 6y + -1y = 0 Combine like terms: 6x + x = 7x 7x + 6y + -1y = 0 Combine like terms: 6y + -1y = 5y 7x + 5y = 0 Solving 7x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 7x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 7x + 0 = 0 + -5y 7x = 0 + -5y Remove the zero: 7x = -5y Divide each side by '7'. x = -0.7142857143y Simplifying x = -0.7142857143y
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