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Simplifying 6x + 7 = 17 + -5x + y Reorder the terms: 7 + 6x = 17 + -5x + y Solving 7 + 6x = 17 + -5x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + 6x + 5x = 17 + -5x + 5x + y Combine like terms: 6x + 5x = 11x 7 + 11x = 17 + -5x + 5x + y Combine like terms: -5x + 5x = 0 7 + 11x = 17 + 0 + y 7 + 11x = 17 + y Add '-7' to each side of the equation. 7 + -7 + 11x = 17 + -7 + y Combine like terms: 7 + -7 = 0 0 + 11x = 17 + -7 + y 11x = 17 + -7 + y Combine like terms: 17 + -7 = 10 11x = 10 + y Divide each side by '11'. x = 0.9090909091 + 0.09090909091y Simplifying x = 0.9090909091 + 0.09090909091y
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