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Simplifying -1(9 + -7x) + -1(7 + 6x) + -6 = -1(9 + -5x) + (-1x) + 8 (9 * -1 + -7x * -1) + -1(7 + 6x) + -6 = -1(9 + -5x) + (-1x) + 8 (-9 + 7x) + -1(7 + 6x) + -6 = -1(9 + -5x) + (-1x) + 8 -9 + 7x + (7 * -1 + 6x * -1) + -6 = -1(9 + -5x) + (-1x) + 8 -9 + 7x + (-7 + -6x) + -6 = -1(9 + -5x) + (-1x) + 8 Reorder the terms: -9 + -7 + -6 + 7x + -6x = -1(9 + -5x) + (-1x) + 8 Combine like terms: -9 + -7 = -16 -16 + -6 + 7x + -6x = -1(9 + -5x) + (-1x) + 8 Combine like terms: -16 + -6 = -22 -22 + 7x + -6x = -1(9 + -5x) + (-1x) + 8 Combine like terms: 7x + -6x = 1x -22 + 1x = -1(9 + -5x) + (-1x) + 8 -22 + 1x = (9 * -1 + -5x * -1) + (-1x) + 8 -22 + 1x = (-9 + 5x) + (-1x) + 8 Reorder the terms: -22 + 1x = -9 + 8 + 5x + (-1x) Combine like terms: -9 + 8 = -1 -22 + 1x = -1 + 5x + (-1x) Combine like terms: 5x + (-1x) = 4x -22 + 1x = -1 + 4x Solving -22 + 1x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -22 + 1x + -4x = -1 + 4x + -4x Combine like terms: 1x + -4x = -3x -22 + -3x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + -3x = -1 + 0 -22 + -3x = -1 Add '22' to each side of the equation. -22 + 22 + -3x = -1 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = -1 + 22 -3x = -1 + 22 Combine like terms: -1 + 22 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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