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Simplifying 5 + [-1(6x + -7) + 9x] = 0 Reorder the terms: 5 + [-1(-7 + 6x) + 9x] = 0 5 + [(-7 * -1 + 6x * -1) + 9x] = 0 5 + [(7 + -6x) + 9x] = 0 Combine like terms: -6x + 9x = 3x 5 + [7 + 3x] = 0 Remove brackets around [7 + 3x] 5 + 7 + 3x = 0 Combine like terms: 5 + 7 = 12 12 + 3x = 0 Solving 12 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 0 + -12 3x = 0 + -12 Combine like terms: 0 + -12 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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