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