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Simplifying 9 + -1(8 + -1x) = 7 + -1(x + -6) 9 + (8 * -1 + -1x * -1) = 7 + -1(x + -6) 9 + (-8 + 1x) = 7 + -1(x + -6) Combine like terms: 9 + -8 = 1 1 + 1x = 7 + -1(x + -6) Reorder the terms: 1 + 1x = 7 + -1(-6 + x) 1 + 1x = 7 + (-6 * -1 + x * -1) 1 + 1x = 7 + (6 + -1x) Combine like terms: 7 + 6 = 13 1 + 1x = 13 + -1x Solving 1 + 1x = 13 + -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. 1 + 1x + x = 13 + -1x + x Combine like terms: 1x + x = 2x 1 + 2x = 13 + -1x + x Combine like terms: -1x + x = 0 1 + 2x = 13 + 0 1 + 2x = 13 Add '-1' to each side of the equation. 1 + -1 + 2x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 13 + -1 2x = 13 + -1 Combine like terms: 13 + -1 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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