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Simplifying 3x + 2y = 5x + -6 + y Reorder the terms: 3x + 2y = -6 + 5x + y Solving 3x + 2y = -6 + 5x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3x + -5x + 2y = -6 + 5x + -5x + y Combine like terms: 3x + -5x = -2x -2x + 2y = -6 + 5x + -5x + y Combine like terms: 5x + -5x = 0 -2x + 2y = -6 + 0 + y -2x + 2y = -6 + y Add '-2y' to each side of the equation. -2x + 2y + -2y = -6 + y + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = -6 + y + -2y -2x = -6 + y + -2y Combine like terms: y + -2y = -1y -2x = -6 + -1y Divide each side by '-2'. x = 3 + 0.5y Simplifying x = 3 + 0.5y
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