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Simplifying 7x = 5(x + 20) Reorder the terms: 7x = 5(20 + x) 7x = (20 * 5 + x * 5) 7x = (100 + 5x) Solving 7x = 100 + 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. 7x + -5x = 100 + 5x + -5x Combine like terms: 7x + -5x = 2x 2x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 2x = 100 + 0 2x = 100 Divide each side by '2'. x = 50 Simplifying x = 50
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