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Simplifying -7x + 13y + 9x + -14y + 4y + 6x = 0 Reorder the terms: -7x + 9x + 6x + 13y + -14y + 4y = 0 Combine like terms: -7x + 9x = 2x 2x + 6x + 13y + -14y + 4y = 0 Combine like terms: 2x + 6x = 8x 8x + 13y + -14y + 4y = 0 Combine like terms: 13y + -14y = -1y 8x + -1y + 4y = 0 Combine like terms: -1y + 4y = 3y 8x + 3y = 0 Solving 8x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 8x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 8x + 0 = 0 + -3y 8x = 0 + -3y Remove the zero: 8x = -3y Divide each side by '8'. x = -0.375y Simplifying x = -0.375y
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