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Simplifying 3x + -1y = 6y + -7x Reorder the terms: 3x + -1y = -7x + 6y Solving 3x + -1y = -7x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 3x + 7x + -1y = -7x + 7x + 6y Combine like terms: 3x + 7x = 10x 10x + -1y = -7x + 7x + 6y Combine like terms: -7x + 7x = 0 10x + -1y = 0 + 6y 10x + -1y = 6y Add 'y' to each side of the equation. 10x + -1y + y = 6y + y Combine like terms: -1y + y = 0 10x + 0 = 6y + y 10x = 6y + y Combine like terms: 6y + y = 7y 10x = 7y Divide each side by '10'. x = 0.7y Simplifying x = 0.7y
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