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Simplifying -1[9x + -1(7x + 1)] = 1 + (7x + 9) Reorder the terms: -1[9x + -1(1 + 7x)] = 1 + (7x + 9) -1[9x + (1 * -1 + 7x * -1)] = 1 + (7x + 9) -1[9x + (-1 + -7x)] = 1 + (7x + 9) Reorder the terms: -1[-1 + 9x + -7x] = 1 + (7x + 9) Combine like terms: 9x + -7x = 2x -1[-1 + 2x] = 1 + (7x + 9) [-1 * -1 + 2x * -1] = 1 + (7x + 9) [1 + -2x] = 1 + (7x + 9) Reorder the terms: 1 + -2x = 1 + (9 + 7x) Remove parenthesis around (9 + 7x) 1 + -2x = 1 + 9 + 7x Combine like terms: 1 + 9 = 10 1 + -2x = 10 + 7x Solving 1 + -2x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + -2x + -7x = 10 + 7x + -7x Combine like terms: -2x + -7x = -9x 1 + -9x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -9x = 10 + 0 1 + -9x = 10 Add '-1' to each side of the equation. 1 + -1 + -9x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 10 + -1 -9x = 10 + -1 Combine like terms: 10 + -1 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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