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