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Simplifying 10x + -5y + 2x + -3y = 0 Reorder the terms: 10x + 2x + -5y + -3y = 0 Combine like terms: 10x + 2x = 12x 12x + -5y + -3y = 0 Combine like terms: -5y + -3y = -8y 12x + -8y = 0 Solving 12x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 12x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 12x + 0 = 0 + 8y 12x = 0 + 8y Remove the zero: 12x = 8y Divide each side by '12'. x = 0.6666666667y Simplifying x = 0.6666666667y
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