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Simplifying 8(x + 1) + 7x = -82 Reorder the terms: 8(1 + x) + 7x = -82 (1 * 8 + x * 8) + 7x = -82 (8 + 8x) + 7x = -82 Combine like terms: 8x + 7x = 15x 8 + 15x = -82 Solving 8 + 15x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 15x = -82 + -8 Combine like terms: 8 + -8 = 0 0 + 15x = -82 + -8 15x = -82 + -8 Combine like terms: -82 + -8 = -90 15x = -90 Divide each side by '15'. x = -6 Simplifying x = -6
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