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