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Simplifying 12x + 10y + -4y + 8y + -10x + 5y = 0 Reorder the terms: 12x + -10x + 10y + -4y + 8y + 5y = 0 Combine like terms: 12x + -10x = 2x 2x + 10y + -4y + 8y + 5y = 0 Combine like terms: 10y + -4y = 6y 2x + 6y + 8y + 5y = 0 Combine like terms: 6y + 8y = 14y 2x + 14y + 5y = 0 Combine like terms: 14y + 5y = 19y 2x + 19y = 0 Solving 2x + 19y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19y' to each side of the equation. 2x + 19y + -19y = 0 + -19y Combine like terms: 19y + -19y = 0 2x + 0 = 0 + -19y 2x = 0 + -19y Remove the zero: 2x = -19y Divide each side by '2'. x = -9.5y Simplifying x = -9.5y
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