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