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Simplifying 4(3x + y) + 2z = 5 (3x * 4 + y * 4) + 2z = 5 (12x + 4y) + 2z = 5 Solving 12x + 4y + 2z = 5 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. 12x + 4y + -4y + 2z = 5 + -4y Combine like terms: 4y + -4y = 0 12x + 0 + 2z = 5 + -4y 12x + 2z = 5 + -4y Add '-2z' to each side of the equation. 12x + 2z + -2z = 5 + -4y + -2z Combine like terms: 2z + -2z = 0 12x + 0 = 5 + -4y + -2z 12x = 5 + -4y + -2z Divide each side by '12'. x = 0.4166666667 + -0.3333333333y + -0.1666666667z Simplifying x = 0.4166666667 + -0.3333333333y + -0.1666666667z
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