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Simplifying 5x + 2x = 2(x + 5) Combine like terms: 5x + 2x = 7x 7x = 2(x + 5) Reorder the terms: 7x = 2(5 + x) 7x = (5 * 2 + x * 2) 7x = (10 + 2x) Solving 7x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7x + -2x = 10 + 2x + -2x Combine like terms: 7x + -2x = 5x 5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 5x = 10 + 0 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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