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Simplifying 3y + x + 5 = y + 12 Reorder the terms: 5 + x + 3y = y + 12 Reorder the terms: 5 + x + 3y = 12 + y Solving 5 + x + 3y = 12 + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + x + -5 + 3y = 12 + -5 + y Reorder the terms: 5 + -5 + x + 3y = 12 + -5 + y Combine like terms: 5 + -5 = 0 0 + x + 3y = 12 + -5 + y x + 3y = 12 + -5 + y Combine like terms: 12 + -5 = 7 x + 3y = 7 + y Add '-3y' to each side of the equation. x + 3y + -3y = 7 + y + -3y Combine like terms: 3y + -3y = 0 x + 0 = 7 + y + -3y x = 7 + y + -3y Combine like terms: y + -3y = -2y x = 7 + -2y Simplifying x = 7 + -2y
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