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Simplifying 5x + -5y + 2z = 7 Solving 5x + -5y + 2z = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 5x + -5y + 5y + 2z = 7 + 5y Combine like terms: -5y + 5y = 0 5x + 0 + 2z = 7 + 5y 5x + 2z = 7 + 5y Add '-2z' to each side of the equation. 5x + 2z + -2z = 7 + 5y + -2z Combine like terms: 2z + -2z = 0 5x + 0 = 7 + 5y + -2z 5x = 7 + 5y + -2z Divide each side by '5'. x = 1.4 + y + -0.4z Simplifying x = 1.4 + y + -0.4z
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