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Simplifying 3x + 2 = 2x + -1y + 4 Reorder the terms: 2 + 3x = 2x + -1y + 4 Reorder the terms: 2 + 3x = 4 + 2x + -1y Solving 2 + 3x = 4 + 2x + -1y 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. 2 + 3x + -2x = 4 + 2x + -2x + -1y Combine like terms: 3x + -2x = 1x 2 + 1x = 4 + 2x + -2x + -1y Combine like terms: 2x + -2x = 0 2 + 1x = 4 + 0 + -1y 2 + 1x = 4 + -1y Add '-2' to each side of the equation. 2 + -2 + 1x = 4 + -2 + -1y Combine like terms: 2 + -2 = 0 0 + 1x = 4 + -2 + -1y 1x = 4 + -2 + -1y Combine like terms: 4 + -2 = 2 1x = 2 + -1y Divide each side by '1'. x = 2 + -1y Simplifying x = 2 + -1y
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