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Simplifying 5x + -1y = 2x + y + 5x + y Reorder the terms: 5x + -1y = 2x + 5x + y + y Combine like terms: 2x + 5x = 7x 5x + -1y = 7x + y + y Combine like terms: y + y = 2y 5x + -1y = 7x + 2y Solving 5x + -1y = 7x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5x + -7x + -1y = 7x + -7x + 2y Combine like terms: 5x + -7x = -2x -2x + -1y = 7x + -7x + 2y Combine like terms: 7x + -7x = 0 -2x + -1y = 0 + 2y -2x + -1y = 2y Add 'y' to each side of the equation. -2x + -1y + y = 2y + y Combine like terms: -1y + y = 0 -2x + 0 = 2y + y -2x = 2y + y Combine like terms: 2y + y = 3y -2x = 3y Divide each side by '-2'. x = -1.5y Simplifying x = -1.5y
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