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Simplifying 5x + 7y + 3z = 150 Solving 5x + 7y + 3z = 150 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 + 3z = 150 + -7y Combine like terms: 7y + -7y = 0 5x + 0 + 3z = 150 + -7y 5x + 3z = 150 + -7y Add '-3z' to each side of the equation. 5x + 3z + -3z = 150 + -7y + -3z Combine like terms: 3z + -3z = 0 5x + 0 = 150 + -7y + -3z 5x = 150 + -7y + -3z Divide each side by '5'. x = 30 + -1.4y + -0.6z Simplifying x = 30 + -1.4y + -0.6z
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