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Simplifying 9 + -1(8 + -7 + -6) = 9 + -8 + -1(x + -6) Combine like terms: 8 + -7 = 1 9 + -1(1 + -6) = 9 + -8 + -1(x + -6) Combine like terms: 1 + -6 = -5 9 + -1(-5) = 9 + -8 + -1(x + -6) Multiply -1 * -5 9 + 5 = 9 + -8 + -1(x + -6) Combine like terms: 9 + 5 = 14 14 = 9 + -8 + -1(x + -6) Reorder the terms: 14 = 9 + -8 + -1(-6 + x) 14 = 9 + -8 + (-6 * -1 + x * -1) 14 = 9 + -8 + (6 + -1x) Combine like terms: 9 + -8 = 1 14 = 1 + 6 + -1x Combine like terms: 1 + 6 = 7 14 = 7 + -1x Solving 14 = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 14 + x = 7 + -1x + x Combine like terms: -1x + x = 0 14 + x = 7 + 0 14 + x = 7 Add '-14' to each side of the equation. 14 + -14 + x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + x = 7 + -14 x = 7 + -14 Combine like terms: 7 + -14 = -7 x = -7 Simplifying x = -7
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