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Simplifying 3x + y = 4(2 + -1z) 3x + y = (2 * 4 + -1z * 4) 3x + y = (8 + -4z) Solving 3x + y = 8 + -4z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 3x + y + -1y = 8 + -1y + -4z Combine like terms: y + -1y = 0 3x + 0 = 8 + -1y + -4z 3x = 8 + -1y + -4z Divide each side by '3'. x = 2.666666667 + -0.3333333333y + -1.333333333z Simplifying x = 2.666666667 + -0.3333333333y + -1.333333333z
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