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Simplifying 12x + 5 = 7x + 45 Reorder the terms: 5 + 12x = 7x + 45 Reorder the terms: 5 + 12x = 45 + 7x Solving 5 + 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. 5 + 12x + -7x = 45 + 7x + -7x Combine like terms: 12x + -7x = 5x 5 + 5x = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + 5x = 45 + 0 5 + 5x = 45 Add '-5' to each side of the equation. 5 + -5 + 5x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 45 + -5 5x = 45 + -5 Combine like terms: 45 + -5 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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