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Simplifying 12x + 1 = 7x + 21 Reorder the terms: 1 + 12x = 7x + 21 Reorder the terms: 1 + 12x = 21 + 7x Solving 1 + 12x = 21 + 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. 1 + 12x + -7x = 21 + 7x + -7x Combine like terms: 12x + -7x = 5x 1 + 5x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + 5x = 21 + 0 1 + 5x = 21 Add '-1' to each side of the equation. 1 + -1 + 5x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 21 + -1 5x = 21 + -1 Combine like terms: 21 + -1 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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