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Simplifying 5(x + 3) + 1 + -1x + 25(x + 7) = 390 Reorder the terms: 5(3 + x) + 1 + -1x + 25(x + 7) = 390 (3 * 5 + x * 5) + 1 + -1x + 25(x + 7) = 390 (15 + 5x) + 1 + -1x + 25(x + 7) = 390 Reorder the terms: 15 + 5x + 1 + -1x + 25(7 + x) = 390 15 + 5x + 1 + -1x + (7 * 25 + x * 25) = 390 15 + 5x + 1 + -1x + (175 + 25x) = 390 Reorder the terms: 15 + 1 + 175 + 5x + -1x + 25x = 390 Combine like terms: 15 + 1 = 16 16 + 175 + 5x + -1x + 25x = 390 Combine like terms: 16 + 175 = 191 191 + 5x + -1x + 25x = 390 Combine like terms: 5x + -1x = 4x 191 + 4x + 25x = 390 Combine like terms: 4x + 25x = 29x 191 + 29x = 390 Solving 191 + 29x = 390 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-191' to each side of the equation. 191 + -191 + 29x = 390 + -191 Combine like terms: 191 + -191 = 0 0 + 29x = 390 + -191 29x = 390 + -191 Combine like terms: 390 + -191 = 199 29x = 199 Divide each side by '29'. x = 6.862068966 Simplifying x = 6.862068966
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