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Simplifying -1[4x + (9x + 7)] = 9 + -1(7x + 1) Reorder the terms: -1[4x + (7 + 9x)] = 9 + -1(7x + 1) Remove parenthesis around (7 + 9x) -1[4x + 7 + 9x] = 9 + -1(7x + 1) Reorder the terms: -1[7 + 4x + 9x] = 9 + -1(7x + 1) Combine like terms: 4x + 9x = 13x -1[7 + 13x] = 9 + -1(7x + 1) [7 * -1 + 13x * -1] = 9 + -1(7x + 1) [-7 + -13x] = 9 + -1(7x + 1) Reorder the terms: -7 + -13x = 9 + -1(1 + 7x) -7 + -13x = 9 + (1 * -1 + 7x * -1) -7 + -13x = 9 + (-1 + -7x) Combine like terms: 9 + -1 = 8 -7 + -13x = 8 + -7x Solving -7 + -13x = 8 + -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. -7 + -13x + 7x = 8 + -7x + 7x Combine like terms: -13x + 7x = -6x -7 + -6x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + -6x = 8 + 0 -7 + -6x = 8 Add '7' to each side of the equation. -7 + 7 + -6x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 8 + 7 -6x = 8 + 7 Combine like terms: 8 + 7 = 15 -6x = 15 Divide each side by '-6'. x = -2.5 Simplifying x = -2.5
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