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Simplifying 3x + -2y + 7x + 4y = 0 Reorder the terms: 3x + 7x + -2y + 4y = 0 Combine like terms: 3x + 7x = 10x 10x + -2y + 4y = 0 Combine like terms: -2y + 4y = 2y 10x + 2y = 0 Solving 10x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 10x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 10x + 0 = 0 + -2y 10x = 0 + -2y Remove the zero: 10x = -2y Divide each side by '10'. x = -0.2y Simplifying x = -0.2y
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