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Simplifying 6(x + 2 + y) + -1(x + 2 + y) = 0 Reorder the terms: 6(2 + x + y) + -1(x + 2 + y) = 0 (2 * 6 + x * 6 + y * 6) + -1(x + 2 + y) = 0 (12 + 6x + 6y) + -1(x + 2 + y) = 0 Reorder the terms: 12 + 6x + 6y + -1(2 + x + y) = 0 12 + 6x + 6y + (2 * -1 + x * -1 + y * -1) = 0 12 + 6x + 6y + (-2 + -1x + -1y) = 0 Reorder the terms: 12 + -2 + 6x + -1x + 6y + -1y = 0 Combine like terms: 12 + -2 = 10 10 + 6x + -1x + 6y + -1y = 0 Combine like terms: 6x + -1x = 5x 10 + 5x + 6y + -1y = 0 Combine like terms: 6y + -1y = 5y 10 + 5x + 5y = 0 Solving 10 + 5x + 5y = 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 + 5x + -10 + 5y = 0 + -10 Reorder the terms: 10 + -10 + 5x + 5y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5x + 5y = 0 + -10 5x + 5y = 0 + -10 Combine like terms: 0 + -10 = -10 5x + 5y = -10 Add '-5y' to each side of the equation. 5x + 5y + -5y = -10 + -5y Combine like terms: 5y + -5y = 0 5x + 0 = -10 + -5y 5x = -10 + -5y Divide each side by '5'. x = -2 + -1y Simplifying x = -2 + -1y
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