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Simplifying 12x + 4 = 7x + 29 Reorder the terms: 4 + 12x = 7x + 29 Reorder the terms: 4 + 12x = 29 + 7x Solving 4 + 12x = 29 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 12x + -7x = 29 + 7x + -7x Combine like terms: 12x + -7x = 5x 4 + 5x = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 5x = 29 + 0 4 + 5x = 29 Add '-4' to each side of the equation. 4 + -4 + 5x = 29 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 29 + -4 5x = 29 + -4 Combine like terms: 29 + -4 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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