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Simplifying -1[9x + (6x + 7)] = 9 + -1(7x + 4) Reorder the terms: -1[9x + (7 + 6x)] = 9 + -1(7x + 4) Remove parenthesis around (7 + 6x) -1[9x + 7 + 6x] = 9 + -1(7x + 4) Reorder the terms: -1[7 + 9x + 6x] = 9 + -1(7x + 4) Combine like terms: 9x + 6x = 15x -1[7 + 15x] = 9 + -1(7x + 4) [7 * -1 + 15x * -1] = 9 + -1(7x + 4) [-7 + -15x] = 9 + -1(7x + 4) Reorder the terms: -7 + -15x = 9 + -1(4 + 7x) -7 + -15x = 9 + (4 * -1 + 7x * -1) -7 + -15x = 9 + (-4 + -7x) Combine like terms: 9 + -4 = 5 -7 + -15x = 5 + -7x Solving -7 + -15x = 5 + -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 + -15x + 7x = 5 + -7x + 7x Combine like terms: -15x + 7x = -8x -7 + -8x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 -7 + -8x = 5 + 0 -7 + -8x = 5 Add '7' to each side of the equation. -7 + 7 + -8x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 5 + 7 -8x = 5 + 7 Combine like terms: 5 + 7 = 12 -8x = 12 Divide each side by '-8'. x = -1.5 Simplifying x = -1.5
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