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Simplifying 10x + 25(x + 18) = 2970 Reorder the terms: 10x + 25(18 + x) = 2970 10x + (18 * 25 + x * 25) = 2970 10x + (450 + 25x) = 2970 Reorder the terms: 450 + 10x + 25x = 2970 Combine like terms: 10x + 25x = 35x 450 + 35x = 2970 Solving 450 + 35x = 2970 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-450' to each side of the equation. 450 + -450 + 35x = 2970 + -450 Combine like terms: 450 + -450 = 0 0 + 35x = 2970 + -450 35x = 2970 + -450 Combine like terms: 2970 + -450 = 2520 35x = 2520 Divide each side by '35'. x = 72 Simplifying x = 72
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