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Simplifying 5x + 2y + -3z = 43 Solving 5x + 2y + -3z = 43 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 + -3z = 43 + -2y Combine like terms: 2y + -2y = 0 5x + 0 + -3z = 43 + -2y 5x + -3z = 43 + -2y Add '3z' to each side of the equation. 5x + -3z + 3z = 43 + -2y + 3z Combine like terms: -3z + 3z = 0 5x + 0 = 43 + -2y + 3z 5x = 43 + -2y + 3z Divide each side by '5'. x = 8.6 + -0.4y + 0.6z Simplifying x = 8.6 + -0.4y + 0.6z
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