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Simplifying 4x + 9 = -82 + -9x Reorder the terms: 9 + 4x = -82 + -9x Solving 9 + 4x = -82 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 9 + 4x + 9x = -82 + -9x + 9x Combine like terms: 4x + 9x = 13x 9 + 13x = -82 + -9x + 9x Combine like terms: -9x + 9x = 0 9 + 13x = -82 + 0 9 + 13x = -82 Add '-9' to each side of the equation. 9 + -9 + 13x = -82 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = -82 + -9 13x = -82 + -9 Combine like terms: -82 + -9 = -91 13x = -91 Divide each side by '13'. x = -7 Simplifying x = -7
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