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Simplifying 5x + -2y + 4z = 52 Solving 5x + -2y + 4z = 52 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 + 4z = 52 + 2y Combine like terms: -2y + 2y = 0 5x + 0 + 4z = 52 + 2y 5x + 4z = 52 + 2y Add '-4z' to each side of the equation. 5x + 4z + -4z = 52 + 2y + -4z Combine like terms: 4z + -4z = 0 5x + 0 = 52 + 2y + -4z 5x = 52 + 2y + -4z Divide each side by '5'. x = 10.4 + 0.4y + -0.8z Simplifying x = 10.4 + 0.4y + -0.8z
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