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Simplifying 5x + 3y + -4z = 1 Solving 5x + 3y + -4z = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 5x + 3y + -3y + -4z = 1 + -3y Combine like terms: 3y + -3y = 0 5x + 0 + -4z = 1 + -3y 5x + -4z = 1 + -3y Add '4z' to each side of the equation. 5x + -4z + 4z = 1 + -3y + 4z Combine like terms: -4z + 4z = 0 5x + 0 = 1 + -3y + 4z 5x = 1 + -3y + 4z Divide each side by '5'. x = 0.2 + -0.6y + 0.8z Simplifying x = 0.2 + -0.6y + 0.8z
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