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Simplifying 500 = 6x + 7y Solving 500 = 6x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 500 + -6x = 6x + -6x + 7y Combine like terms: 6x + -6x = 0 500 + -6x = 0 + 7y 500 + -6x = 7y Add '-500' to each side of the equation. 500 + -500 + -6x = -500 + 7y Combine like terms: 500 + -500 = 0 0 + -6x = -500 + 7y -6x = -500 + 7y Divide each side by '-6'. x = 83.33333333 + -1.166666667y Simplifying x = 83.33333333 + -1.166666667y
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