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Simplifying 3x + 4y + -8z = 45 Solving 3x + 4y + -8z = 45 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 + -8z = 45 + -4y Combine like terms: 4y + -4y = 0 3x + 0 + -8z = 45 + -4y 3x + -8z = 45 + -4y Add '8z' to each side of the equation. 3x + -8z + 8z = 45 + -4y + 8z Combine like terms: -8z + 8z = 0 3x + 0 = 45 + -4y + 8z 3x = 45 + -4y + 8z Divide each side by '3'. x = 15 + -1.333333333y + 2.666666667z Simplifying x = 15 + -1.333333333y + 2.666666667z
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