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Simplifying 2x + 5(x + 5) = -52 Reorder the terms: 2x + 5(5 + x) = -52 2x + (5 * 5 + x * 5) = -52 2x + (25 + 5x) = -52 Reorder the terms: 25 + 2x + 5x = -52 Combine like terms: 2x + 5x = 7x 25 + 7x = -52 Solving 25 + 7x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 7x = -52 + -25 Combine like terms: 25 + -25 = 0 0 + 7x = -52 + -25 7x = -52 + -25 Combine like terms: -52 + -25 = -77 7x = -77 Divide each side by '7'. x = -11 Simplifying x = -11
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