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Simplifying 10x + 20 = 5x + 45 Reorder the terms: 20 + 10x = 5x + 45 Reorder the terms: 20 + 10x = 45 + 5x Solving 20 + 10x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + 10x + -5x = 45 + 5x + -5x Combine like terms: 10x + -5x = 5x 20 + 5x = 45 + 5x + -5x Combine like terms: 5x + -5x = 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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