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Simplifying 12x + 8 = 5x + 29 Reorder the terms: 8 + 12x = 5x + 29 Reorder the terms: 8 + 12x = 29 + 5x Solving 8 + 12x = 29 + 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. 8 + 12x + -5x = 29 + 5x + -5x Combine like terms: 12x + -5x = 7x 8 + 7x = 29 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 7x = 29 + 0 8 + 7x = 29 Add '-8' to each side of the equation. 8 + -8 + 7x = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 29 + -8 7x = 29 + -8 Combine like terms: 29 + -8 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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