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Simplifying 2x + 3(4x + 5) = -83 Reorder the terms: 2x + 3(5 + 4x) = -83 2x + (5 * 3 + 4x * 3) = -83 2x + (15 + 12x) = -83 Reorder the terms: 15 + 2x + 12x = -83 Combine like terms: 2x + 12x = 14x 15 + 14x = -83 Solving 15 + 14x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 14x = -83 + -15 Combine like terms: 15 + -15 = 0 0 + 14x = -83 + -15 14x = -83 + -15 Combine like terms: -83 + -15 = -98 14x = -98 Divide each side by '14'. x = -7 Simplifying x = -7
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