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Simplifying 5x + -3y + z = 15 Solving 5x + -3y + z = 15 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 + z = 15 + 3y Combine like terms: -3y + 3y = 0 5x + 0 + z = 15 + 3y 5x + z = 15 + 3y Add '-1z' to each side of the equation. 5x + z + -1z = 15 + 3y + -1z Combine like terms: z + -1z = 0 5x + 0 = 15 + 3y + -1z 5x = 15 + 3y + -1z Divide each side by '5'. x = 3 + 0.6y + -0.2z Simplifying x = 3 + 0.6y + -0.2z
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