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Simplifying 4x + -5y + -3z = 1 Solving 4x + -5y + -3z = 1 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. 4x + -5y + 5y + -3z = 1 + 5y Combine like terms: -5y + 5y = 0 4x + 0 + -3z = 1 + 5y 4x + -3z = 1 + 5y Add '3z' to each side of the equation. 4x + -3z + 3z = 1 + 5y + 3z Combine like terms: -3z + 3z = 0 4x + 0 = 1 + 5y + 3z 4x = 1 + 5y + 3z Divide each side by '4'. x = 0.25 + 1.25y + 0.75z Simplifying x = 0.25 + 1.25y + 0.75z
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