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Simplifying 9(7x + -1) = 7(7x + 1) + 390 Reorder the terms: 9(-1 + 7x) = 7(7x + 1) + 390 (-1 * 9 + 7x * 9) = 7(7x + 1) + 390 (-9 + 63x) = 7(7x + 1) + 390 Reorder the terms: -9 + 63x = 7(1 + 7x) + 390 -9 + 63x = (1 * 7 + 7x * 7) + 390 -9 + 63x = (7 + 49x) + 390 Reorder the terms: -9 + 63x = 7 + 390 + 49x Combine like terms: 7 + 390 = 397 -9 + 63x = 397 + 49x Solving -9 + 63x = 397 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. -9 + 63x + -49x = 397 + 49x + -49x Combine like terms: 63x + -49x = 14x -9 + 14x = 397 + 49x + -49x Combine like terms: 49x + -49x = 0 -9 + 14x = 397 + 0 -9 + 14x = 397 Add '9' to each side of the equation. -9 + 9 + 14x = 397 + 9 Combine like terms: -9 + 9 = 0 0 + 14x = 397 + 9 14x = 397 + 9 Combine like terms: 397 + 9 = 406 14x = 406 Divide each side by '14'. x = 29 Simplifying x = 29
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