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Simplifying 3(2x + y) + 5z = -1 (2x * 3 + y * 3) + 5z = -1 (6x + 3y) + 5z = -1 Solving 6x + 3y + 5z = -1 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 + 5z = -1 + -3y Combine like terms: 3y + -3y = 0 6x + 0 + 5z = -1 + -3y 6x + 5z = -1 + -3y Add '-5z' to each side of the equation. 6x + 5z + -5z = -1 + -3y + -5z Combine like terms: 5z + -5z = 0 6x + 0 = -1 + -3y + -5z 6x = -1 + -3y + -5z Divide each side by '6'. x = -0.1666666667 + -0.5y + -0.8333333333z Simplifying x = -0.1666666667 + -0.5y + -0.8333333333z
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