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Simplifying 5x + 2y + 3(2x + y) + 4 = 0 5x + 2y + (2x * 3 + y * 3) + 4 = 0 5x + 2y + (6x + 3y) + 4 = 0 Reorder the terms: 4 + 5x + 6x + 2y + 3y = 0 Combine like terms: 5x + 6x = 11x 4 + 11x + 2y + 3y = 0 Combine like terms: 2y + 3y = 5y 4 + 11x + 5y = 0 Solving 4 + 11x + 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 + 11x + -4 + 5y = 0 + -4 Reorder the terms: 4 + -4 + 11x + 5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 11x + 5y = 0 + -4 11x + 5y = 0 + -4 Combine like terms: 0 + -4 = -4 11x + 5y = -4 Add '-5y' to each side of the equation. 11x + 5y + -5y = -4 + -5y Combine like terms: 5y + -5y = 0 11x + 0 = -4 + -5y 11x = -4 + -5y Divide each side by '11'. x = -0.3636363636 + -0.4545454545y Simplifying x = -0.3636363636 + -0.4545454545y
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