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Simplifying 2x + y + -1z = 7z Solving 2x + y + -1z = 7z 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. 2x + y + -1y + -1z = -1y + 7z Combine like terms: y + -1y = 0 2x + 0 + -1z = -1y + 7z 2x + -1z = -1y + 7z Add 'z' to each side of the equation. 2x + -1z + z = -1y + 7z + z Combine like terms: -1z + z = 0 2x + 0 = -1y + 7z + z 2x = -1y + 7z + z Combine like terms: 7z + z = 8z 2x = -1y + 8z Divide each side by '2'. x = -0.5y + 4z Simplifying x = -0.5y + 4z
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