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Simplifying 5(3x + 6) + 1 = (-89) Reorder the terms: 5(6 + 3x) + 1 = (-89) (6 * 5 + 3x * 5) + 1 = (-89) (30 + 15x) + 1 = (-89) Reorder the terms: 30 + 1 + 15x = (-89) Combine like terms: 30 + 1 = 31 31 + 15x = (-89) 31 + 15x = -89 Solving 31 + 15x = -89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 15x = -89 + -31 Combine like terms: 31 + -31 = 0 0 + 15x = -89 + -31 15x = -89 + -31 Combine like terms: -89 + -31 = -120 15x = -120 Divide each side by '15'. x = -8 Simplifying x = -8
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