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Simplifying 5xy + 7y + 4z + 1 = y + z + 6 Reorder the terms: 1 + 5xy + 7y + 4z = y + z + 6 Reorder the terms: 1 + 5xy + 7y + 4z = 6 + y + z Solving 1 + 5xy + 7y + 4z = 6 + y + z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5xy + 7y + -1 + 4z = 6 + y + -1 + z Reorder the terms: 1 + -1 + 5xy + 7y + 4z = 6 + y + -1 + z Combine like terms: 1 + -1 = 0 0 + 5xy + 7y + 4z = 6 + y + -1 + z 5xy + 7y + 4z = 6 + y + -1 + z Reorder the terms: 5xy + 7y + 4z = 6 + -1 + y + z Combine like terms: 6 + -1 = 5 5xy + 7y + 4z = 5 + y + z Add '-7y' to each side of the equation. 5xy + 7y + -7y + 4z = 5 + y + -7y + z Combine like terms: 7y + -7y = 0 5xy + 0 + 4z = 5 + y + -7y + z 5xy + 4z = 5 + y + -7y + z Combine like terms: y + -7y = -6y 5xy + 4z = 5 + -6y + z Add '-4z' to each side of the equation. 5xy + 4z + -4z = 5 + -6y + z + -4z Combine like terms: 4z + -4z = 0 5xy + 0 = 5 + -6y + z + -4z 5xy = 5 + -6y + z + -4z Combine like terms: z + -4z = -3z 5xy = 5 + -6y + -3z Divide each side by '5y'. x = y-1 + -1.2 + -0.6y-1z Simplifying x = y-1 + -1.2 + -0.6y-1z Reorder the terms: x = -1.2 + y-1 + -0.6y-1z
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