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Simplifying 6x + 5y = 7y + -2x Reorder the terms: 6x + 5y = -2x + 7y Solving 6x + 5y = -2x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6x + 2x + 5y = -2x + 2x + 7y Combine like terms: 6x + 2x = 8x 8x + 5y = -2x + 2x + 7y Combine like terms: -2x + 2x = 0 8x + 5y = 0 + 7y 8x + 5y = 7y Add '-5y' to each side of the equation. 8x + 5y + -5y = 7y + -5y Combine like terms: 5y + -5y = 0 8x + 0 = 7y + -5y 8x = 7y + -5y Combine like terms: 7y + -5y = 2y 8x = 2y Divide each side by '8'. x = 0.25y Simplifying x = 0.25y
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