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Simplifying 9x + 4(5x + 2) = 4x + -83 Reorder the terms: 9x + 4(2 + 5x) = 4x + -83 9x + (2 * 4 + 5x * 4) = 4x + -83 9x + (8 + 20x) = 4x + -83 Reorder the terms: 8 + 9x + 20x = 4x + -83 Combine like terms: 9x + 20x = 29x 8 + 29x = 4x + -83 Reorder the terms: 8 + 29x = -83 + 4x Solving 8 + 29x = -83 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + 29x + -4x = -83 + 4x + -4x Combine like terms: 29x + -4x = 25x 8 + 25x = -83 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + 25x = -83 + 0 8 + 25x = -83 Add '-8' to each side of the equation. 8 + -8 + 25x = -83 + -8 Combine like terms: 8 + -8 = 0 0 + 25x = -83 + -8 25x = -83 + -8 Combine like terms: -83 + -8 = -91 25x = -91 Divide each side by '25'. x = -3.64 Simplifying x = -3.64
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