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Simplifying 1000 = 32 + (-8x + -8) Reorder the terms: 1000 = 32 + (-8 + -8x) Remove parenthesis around (-8 + -8x) 1000 = 32 + -8 + -8x Combine like terms: 32 + -8 = 24 1000 = 24 + -8x Solving 1000 = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 1000 + 8x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 1000 + 8x = 24 + 0 1000 + 8x = 24 Add '-1000' to each side of the equation. 1000 + -1000 + 8x = 24 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 8x = 24 + -1000 8x = 24 + -1000 Combine like terms: 24 + -1000 = -976 8x = -976 Divide each side by '8'. x = -122 Simplifying x = -122
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