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Simplifying 5x + 2y + 6z = 30 Solving 5x + 2y + 6z = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 5x + 2y + -2y + 6z = 30 + -2y Combine like terms: 2y + -2y = 0 5x + 0 + 6z = 30 + -2y 5x + 6z = 30 + -2y Add '-6z' to each side of the equation. 5x + 6z + -6z = 30 + -2y + -6z Combine like terms: 6z + -6z = 0 5x + 0 = 30 + -2y + -6z 5x = 30 + -2y + -6z Divide each side by '5'. x = 6 + -0.4y + -1.2z Simplifying x = 6 + -0.4y + -1.2z
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