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Simplifying -1x + 4y + 7x + -9y + (-5x) + -2y = 0 Reorder the terms: -1x + 7x + (-5x) + 4y + -9y + -2y = 0 Combine like terms: -1x + 7x = 6x 6x + (-5x) + 4y + -9y + -2y = 0 Combine like terms: 6x + (-5x) = 1x 1x + 4y + -9y + -2y = 0 Combine like terms: 4y + -9y = -5y 1x + -5y + -2y = 0 Combine like terms: -5y + -2y = -7y 1x + -7y = 0 Solving 1x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 1x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 1x + 0 = 0 + 7y 1x = 0 + 7y Remove the zero: 1x = 7y Divide each side by '1'. x = 7y Simplifying x = 7y
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