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Simplifying 10x + 25(x + 4) = 205 Reorder the terms: 10x + 25(4 + x) = 205 10x + (4 * 25 + x * 25) = 205 10x + (100 + 25x) = 205 Reorder the terms: 100 + 10x + 25x = 205 Combine like terms: 10x + 25x = 35x 100 + 35x = 205 Solving 100 + 35x = 205 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 = 205 + -100 Combine like terms: 100 + -100 = 0 0 + 35x = 205 + -100 35x = 205 + -100 Combine like terms: 205 + -100 = 105 35x = 105 Divide each side by '35'. x = 3 Simplifying x = 3
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