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Simplifying 5x + -1y + 5z = 1 Solving 5x + -1y + 5z = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 5x + -1y + y + 5z = 1 + y Combine like terms: -1y + y = 0 5x + 0 + 5z = 1 + y 5x + 5z = 1 + y Add '-5z' to each side of the equation. 5x + 5z + -5z = 1 + y + -5z Combine like terms: 5z + -5z = 0 5x + 0 = 1 + y + -5z 5x = 1 + y + -5z Divide each side by '5'. x = 0.2 + 0.2y + -1z Simplifying x = 0.2 + 0.2y + -1z
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