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Simplifying 3x + 4y + -5z = 46 Solving 3x + 4y + -5z = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 3x + 4y + -4y + -5z = 46 + -4y Combine like terms: 4y + -4y = 0 3x + 0 + -5z = 46 + -4y 3x + -5z = 46 + -4y Add '5z' to each side of the equation. 3x + -5z + 5z = 46 + -4y + 5z Combine like terms: -5z + 5z = 0 3x + 0 = 46 + -4y + 5z 3x = 46 + -4y + 5z Divide each side by '3'. x = 15.33333333 + -1.333333333y + 1.666666667z Simplifying x = 15.33333333 + -1.333333333y + 1.666666667z
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