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Simplifying 12x + 16 = 5x + 30 Reorder the terms: 16 + 12x = 5x + 30 Reorder the terms: 16 + 12x = 30 + 5x Solving 16 + 12x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + 12x + -5x = 30 + 5x + -5x Combine like terms: 12x + -5x = 7x 16 + 7x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 7x = 30 + 0 16 + 7x = 30 Add '-16' to each side of the equation. 16 + -16 + 7x = 30 + -16 Combine like terms: 16 + -16 = 0 0 + 7x = 30 + -16 7x = 30 + -16 Combine like terms: 30 + -16 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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