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Simplifying 2x + 3y + 5x + -5y + x + 6y = 0 Reorder the terms: 2x + 5x + x + 3y + -5y + 6y = 0 Combine like terms: 2x + 5x = 7x 7x + x + 3y + -5y + 6y = 0 Combine like terms: 7x + x = 8x 8x + 3y + -5y + 6y = 0 Combine like terms: 3y + -5y = -2y 8x + -2y + 6y = 0 Combine like terms: -2y + 6y = 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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