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Simplifying 3x + 4 + 5y = 2y + 46 Reorder the terms: 4 + 3x + 5y = 2y + 46 Reorder the terms: 4 + 3x + 5y = 46 + 2y Solving 4 + 3x + 5y = 46 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3x + -4 + 5y = 46 + -4 + 2y Reorder the terms: 4 + -4 + 3x + 5y = 46 + -4 + 2y Combine like terms: 4 + -4 = 0 0 + 3x + 5y = 46 + -4 + 2y 3x + 5y = 46 + -4 + 2y Combine like terms: 46 + -4 = 42 3x + 5y = 42 + 2y Add '-5y' to each side of the equation. 3x + 5y + -5y = 42 + 2y + -5y Combine like terms: 5y + -5y = 0 3x + 0 = 42 + 2y + -5y 3x = 42 + 2y + -5y Combine like terms: 2y + -5y = -3y 3x = 42 + -3y Divide each side by '3'. x = 14 + -1y Simplifying x = 14 + -1y
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