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Simplifying 5x + 10y + -2z = 10 Solving 5x + 10y + -2z = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 5x + 10y + -10y + -2z = 10 + -10y Combine like terms: 10y + -10y = 0 5x + 0 + -2z = 10 + -10y 5x + -2z = 10 + -10y Add '2z' to each side of the equation. 5x + -2z + 2z = 10 + -10y + 2z Combine like terms: -2z + 2z = 0 5x + 0 = 10 + -10y + 2z 5x = 10 + -10y + 2z Divide each side by '5'. x = 2 + -2y + 0.4z Simplifying x = 2 + -2y + 0.4z
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