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Simplifying 2(3x + 2y) + -8y + 2x = 0 (3x * 2 + 2y * 2) + -8y + 2x = 0 (6x + 4y) + -8y + 2x = 0 Reorder the terms: 6x + 2x + 4y + -8y = 0 Combine like terms: 6x + 2x = 8x 8x + 4y + -8y = 0 Combine like terms: 4y + -8y = -4y 8x + -4y = 0 Solving 8x + -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. 8x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 8x + 0 = 0 + 4y 8x = 0 + 4y Remove the zero: 8x = 4y Divide each side by '8'. x = 0.5y Simplifying x = 0.5y
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