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Simplifying 7y + -6(x + y) = -38 7y + (x * -6 + y * -6) = -38 7y + (-6x + -6y) = -38 Reorder the terms: -6x + 7y + -6y = -38 Combine like terms: 7y + -6y = 1y -6x + 1y = -38 Solving -6x + 1y = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -6x + 1y + -1y = -38 + -1y Combine like terms: 1y + -1y = 0 -6x + 0 = -38 + -1y -6x = -38 + -1y Divide each side by '-6'. x = 6.333333333 + 0.1666666667y Simplifying x = 6.333333333 + 0.1666666667y
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