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