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Simplifying 82 = -3x + 5(-3x + -16) Reorder the terms: 82 = -3x + 5(-16 + -3x) 82 = -3x + (-16 * 5 + -3x * 5) 82 = -3x + (-80 + -15x) Reorder the terms: 82 = -80 + -3x + -15x Combine like terms: -3x + -15x = -18x 82 = -80 + -18x Solving 82 = -80 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 82 + 18x = -80 + -18x + 18x Combine like terms: -18x + 18x = 0 82 + 18x = -80 + 0 82 + 18x = -80 Add '-82' to each side of the equation. 82 + -82 + 18x = -80 + -82 Combine like terms: 82 + -82 = 0 0 + 18x = -80 + -82 18x = -80 + -82 Combine like terms: -80 + -82 = -162 18x = -162 Divide each side by '18'. x = -9 Simplifying x = -9
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