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Simplifying 5x + 3y + -2z = 22 Solving 5x + 3y + -2z = 22 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. 5x + 3y + -3y + -2z = 22 + -3y Combine like terms: 3y + -3y = 0 5x + 0 + -2z = 22 + -3y 5x + -2z = 22 + -3y Add '2z' to each side of the equation. 5x + -2z + 2z = 22 + -3y + 2z Combine like terms: -2z + 2z = 0 5x + 0 = 22 + -3y + 2z 5x = 22 + -3y + 2z Divide each side by '5'. x = 4.4 + -0.6y + 0.4z Simplifying x = 4.4 + -0.6y + 0.4z
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