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Simplifying 12x + 8 = 9x + 29 Reorder the terms: 8 + 12x = 9x + 29 Reorder the terms: 8 + 12x = 29 + 9x Solving 8 + 12x = 29 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 12x + -9x = 29 + 9x + -9x Combine like terms: 12x + -9x = 3x 8 + 3x = 29 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + 3x = 29 + 0 8 + 3x = 29 Add '-8' to each side of the equation. 8 + -8 + 3x = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 29 + -8 3x = 29 + -8 Combine like terms: 29 + -8 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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