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Simplifying 5x + 7y + 6z = 42 Solving 5x + 7y + 6z = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 5x + 7y + -7y + 6z = 42 + -7y Combine like terms: 7y + -7y = 0 5x + 0 + 6z = 42 + -7y 5x + 6z = 42 + -7y Add '-6z' to each side of the equation. 5x + 6z + -6z = 42 + -7y + -6z Combine like terms: 6z + -6z = 0 5x + 0 = 42 + -7y + -6z 5x = 42 + -7y + -6z Divide each side by '5'. x = 8.4 + -1.4y + -1.2z Simplifying x = 8.4 + -1.4y + -1.2z
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