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Simplifying 9 + 4(x + 2) = 4[9 + -5(x + 4)] Reorder the terms: 9 + 4(2 + x) = 4[9 + -5(x + 4)] 9 + (2 * 4 + x * 4) = 4[9 + -5(x + 4)] 9 + (8 + 4x) = 4[9 + -5(x + 4)] Combine like terms: 9 + 8 = 17 17 + 4x = 4[9 + -5(x + 4)] Reorder the terms: 17 + 4x = 4[9 + -5(4 + x)] 17 + 4x = 4[9 + (4 * -5 + x * -5)] 17 + 4x = 4[9 + (-20 + -5x)] Combine like terms: 9 + -20 = -11 17 + 4x = 4[-11 + -5x] 17 + 4x = [-11 * 4 + -5x * 4] 17 + 4x = [-44 + -20x] Solving 17 + 4x = -44 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 17 + 4x + 20x = -44 + -20x + 20x Combine like terms: 4x + 20x = 24x 17 + 24x = -44 + -20x + 20x Combine like terms: -20x + 20x = 0 17 + 24x = -44 + 0 17 + 24x = -44 Add '-17' to each side of the equation. 17 + -17 + 24x = -44 + -17 Combine like terms: 17 + -17 = 0 0 + 24x = -44 + -17 24x = -44 + -17 Combine like terms: -44 + -17 = -61 24x = -61 Divide each side by '24'. x = -2.541666667 Simplifying x = -2.541666667
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