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Simplifying 2x + 4y + 2 = 3y + 5 Reorder the terms: 2 + 2x + 4y = 3y + 5 Reorder the terms: 2 + 2x + 4y = 5 + 3y Solving 2 + 2x + 4y = 5 + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2x + -2 + 4y = 5 + -2 + 3y Reorder the terms: 2 + -2 + 2x + 4y = 5 + -2 + 3y Combine like terms: 2 + -2 = 0 0 + 2x + 4y = 5 + -2 + 3y 2x + 4y = 5 + -2 + 3y Combine like terms: 5 + -2 = 3 2x + 4y = 3 + 3y Add '-4y' to each side of the equation. 2x + 4y + -4y = 3 + 3y + -4y Combine like terms: 4y + -4y = 0 2x + 0 = 3 + 3y + -4y 2x = 3 + 3y + -4y Combine like terms: 3y + -4y = -1y 2x = 3 + -1y Divide each side by '2'. x = 1.5 + -0.5y Simplifying x = 1.5 + -0.5y
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