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Simplifying -1(-1x + -7) = -9 + -1x Reorder the terms: -1(-7 + -1x) = -9 + -1x (-7 * -1 + -1x * -1) = -9 + -1x (7 + 1x) = -9 + -1x Solving 7 + 1x = -9 + -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. 7 + 1x + x = -9 + -1x + x Combine like terms: 1x + x = 2x 7 + 2x = -9 + -1x + x Combine like terms: -1x + x = 0 7 + 2x = -9 + 0 7 + 2x = -9 Add '-7' to each side of the equation. 7 + -7 + 2x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -9 + -7 2x = -9 + -7 Combine like terms: -9 + -7 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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