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Simplifying 3x + 1y + 1z = 10 Solving 3x + 1y + 1z = 10 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 + 1y + -1y + 1z = 10 + -1y Combine like terms: 1y + -1y = 0 3x + 0 + 1z = 10 + -1y 3x + 1z = 10 + -1y Add '-1z' to each side of the equation. 3x + 1z + -1z = 10 + -1y + -1z Combine like terms: 1z + -1z = 0 3x + 0 = 10 + -1y + -1z 3x = 10 + -1y + -1z Divide each side by '3'. x = 3.333333333 + -0.3333333333y + -0.3333333333z Simplifying x = 3.333333333 + -0.3333333333y + -0.3333333333z
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