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Simplifying 5(x + 3) + 10x + 25(x + 7) = 390 Reorder the terms: 5(3 + x) + 10x + 25(x + 7) = 390 (3 * 5 + x * 5) + 10x + 25(x + 7) = 390 (15 + 5x) + 10x + 25(x + 7) = 390 Reorder the terms: 15 + 5x + 10x + 25(7 + x) = 390 15 + 5x + 10x + (7 * 25 + x * 25) = 390 15 + 5x + 10x + (175 + 25x) = 390 Reorder the terms: 15 + 175 + 5x + 10x + 25x = 390 Combine like terms: 15 + 175 = 190 190 + 5x + 10x + 25x = 390 Combine like terms: 5x + 10x = 15x 190 + 15x + 25x = 390 Combine like terms: 15x + 25x = 40x 190 + 40x = 390 Solving 190 + 40x = 390 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-190' to each side of the equation. 190 + -190 + 40x = 390 + -190 Combine like terms: 190 + -190 = 0 0 + 40x = 390 + -190 40x = 390 + -190 Combine like terms: 390 + -190 = 200 40x = 200 Divide each side by '40'. x = 5 Simplifying x = 5
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