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Simplifying 5(2x + y) + -1(3x + -1y) = z (2x * 5 + y * 5) + -1(3x + -1y) = z (10x + 5y) + -1(3x + -1y) = z 10x + 5y + (3x * -1 + -1y * -1) = z 10x + 5y + (-3x + 1y) = z Reorder the terms: 10x + -3x + 5y + 1y = z Combine like terms: 10x + -3x = 7x 7x + 5y + 1y = z Combine like terms: 5y + 1y = 6y 7x + 6y = z Solving 7x + 6y = z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 7x + 6y + -6y = -6y + z Combine like terms: 6y + -6y = 0 7x + 0 = -6y + z 7x = -6y + z Divide each side by '7'. x = -0.8571428571y + 0.1428571429z Simplifying x = -0.8571428571y + 0.1428571429z
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