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Simplifying -6y + 9x = y + -1x + 2 Reorder the terms: 9x + -6y = y + -1x + 2 Reorder the terms: 9x + -6y = 2 + -1x + y Solving 9x + -6y = 2 + -1x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9x + x + -6y = 2 + -1x + x + y Combine like terms: 9x + x = 10x 10x + -6y = 2 + -1x + x + y Combine like terms: -1x + x = 0 10x + -6y = 2 + 0 + y 10x + -6y = 2 + y Add '6y' to each side of the equation. 10x + -6y + 6y = 2 + y + 6y Combine like terms: -6y + 6y = 0 10x + 0 = 2 + y + 6y 10x = 2 + y + 6y Combine like terms: y + 6y = 7y 10x = 2 + 7y Divide each side by '10'. x = 0.2 + 0.7y Simplifying x = 0.2 + 0.7y
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