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Simplifying 12x + 20 = 7x + 45 Reorder the terms: 20 + 12x = 7x + 45 Reorder the terms: 20 + 12x = 45 + 7x Solving 20 + 12x = 45 + 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. 20 + 12x + -7x = 45 + 7x + -7x Combine like terms: 12x + -7x = 5x 20 + 5x = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + 5x = 45 + 0 20 + 5x = 45 Add '-20' to each side of the equation. 20 + -20 + 5x = 45 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = 45 + -20 5x = 45 + -20 Combine like terms: 45 + -20 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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