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