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Simplifying 2x + -5y + -9y + 10x + -12y + 6x + -14y + -7y + 12x = 0 Reorder the terms: 2x + 10x + 6x + 12x + -5y + -9y + -12y + -14y + -7y = 0 Combine like terms: 2x + 10x = 12x 12x + 6x + 12x + -5y + -9y + -12y + -14y + -7y = 0 Combine like terms: 12x + 6x = 18x 18x + 12x + -5y + -9y + -12y + -14y + -7y = 0 Combine like terms: 18x + 12x = 30x 30x + -5y + -9y + -12y + -14y + -7y = 0 Combine like terms: -5y + -9y = -14y 30x + -14y + -12y + -14y + -7y = 0 Combine like terms: -14y + -12y = -26y 30x + -26y + -14y + -7y = 0 Combine like terms: -26y + -14y = -40y 30x + -40y + -7y = 0 Combine like terms: -40y + -7y = -47y 30x + -47y = 0 Solving 30x + -47y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47y' to each side of the equation. 30x + -47y + 47y = 0 + 47y Combine like terms: -47y + 47y = 0 30x + 0 = 0 + 47y 30x = 0 + 47y Remove the zero: 30x = 47y Divide each side by '30'. x = 1.566666667y Simplifying x = 1.566666667y
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