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Simplifying 3x + 2y = 5x + 1 Reorder the terms: 3x + 2y = 1 + 5x Solving 3x + 2y = 1 + 5x 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 = 1 + 5x + -5x Combine like terms: 3x + -5x = -2x -2x + 2y = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -2x + 2y = 1 + 0 -2x + 2y = 1 Add '-2y' to each side of the equation. -2x + 2y + -2y = 1 + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = 1 + -2y -2x = 1 + -2y Divide each side by '-2'. x = -0.5 + y Simplifying x = -0.5 + y
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