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Simplifying 2x + 1 = 4x + 3y Reorder the terms: 1 + 2x = 4x + 3y Solving 1 + 2x = 4x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 2x + -4x = 4x + -4x + 3y Combine like terms: 2x + -4x = -2x 1 + -2x = 4x + -4x + 3y Combine like terms: 4x + -4x = 0 1 + -2x = 0 + 3y 1 + -2x = 3y Add '-1' to each side of the equation. 1 + -1 + -2x = -1 + 3y Combine like terms: 1 + -1 = 0 0 + -2x = -1 + 3y -2x = -1 + 3y Divide each side by '-2'. x = 0.5 + -1.5y Simplifying x = 0.5 + -1.5y
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