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Simplifying 6x + 3y + 10z = 100 Solving 6x + 3y + 10z = 100 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. 6x + 3y + -3y + 10z = 100 + -3y Combine like terms: 3y + -3y = 0 6x + 0 + 10z = 100 + -3y 6x + 10z = 100 + -3y Add '-10z' to each side of the equation. 6x + 10z + -10z = 100 + -3y + -10z Combine like terms: 10z + -10z = 0 6x + 0 = 100 + -3y + -10z 6x = 100 + -3y + -10z Divide each side by '6'. x = 16.66666667 + -0.5y + -1.666666667z Simplifying x = 16.66666667 + -0.5y + -1.666666667z
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