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Simplifying 2x + -2y + 3z = 7 Solving 2x + -2y + 3z = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 2x + -2y + 2y + 3z = 7 + 2y Combine like terms: -2y + 2y = 0 2x + 0 + 3z = 7 + 2y 2x + 3z = 7 + 2y Add '-3z' to each side of the equation. 2x + 3z + -3z = 7 + 2y + -3z Combine like terms: 3z + -3z = 0 2x + 0 = 7 + 2y + -3z 2x = 7 + 2y + -3z Divide each side by '2'. x = 3.5 + y + -1.5z Simplifying x = 3.5 + y + -1.5z
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