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Simplifying 4x + -1y + 3z = 1 Solving 4x + -1y + 3z = 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. 4x + -1y + y + 3z = 1 + y Combine like terms: -1y + y = 0 4x + 0 + 3z = 1 + y 4x + 3z = 1 + y Add '-3z' to each side of the equation. 4x + 3z + -3z = 1 + y + -3z Combine like terms: 3z + -3z = 0 4x + 0 = 1 + y + -3z 4x = 1 + y + -3z Divide each side by '4'. x = 0.25 + 0.25y + -0.75z Simplifying x = 0.25 + 0.25y + -0.75z
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