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Simplifying 2x + -4y + 3 = 3y + 17 Reorder the terms: 3 + 2x + -4y = 3y + 17 Reorder the terms: 3 + 2x + -4y = 17 + 3y Solving 3 + 2x + -4y = 17 + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2x + -3 + -4y = 17 + -3 + 3y Reorder the terms: 3 + -3 + 2x + -4y = 17 + -3 + 3y Combine like terms: 3 + -3 = 0 0 + 2x + -4y = 17 + -3 + 3y 2x + -4y = 17 + -3 + 3y Combine like terms: 17 + -3 = 14 2x + -4y = 14 + 3y Add '4y' to each side of the equation. 2x + -4y + 4y = 14 + 3y + 4y Combine like terms: -4y + 4y = 0 2x + 0 = 14 + 3y + 4y 2x = 14 + 3y + 4y Combine like terms: 3y + 4y = 7y 2x = 14 + 7y Divide each side by '2'. x = 7 + 3.5y Simplifying x = 7 + 3.5y
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