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Simplifying 15x + 20(x + 5) = 415 Reorder the terms: 15x + 20(5 + x) = 415 15x + (5 * 20 + x * 20) = 415 15x + (100 + 20x) = 415 Reorder the terms: 100 + 15x + 20x = 415 Combine like terms: 15x + 20x = 35x 100 + 35x = 415 Solving 100 + 35x = 415 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + 35x = 415 + -100 Combine like terms: 100 + -100 = 0 0 + 35x = 415 + -100 35x = 415 + -100 Combine like terms: 415 + -100 = 315 35x = 315 Divide each side by '35'. x = 9 Simplifying x = 9
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