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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 = 1 1 + 4x = 4[9 + -5(x + 4)] Reorder the terms: 1 + 4x = 4[9 + -5(4 + x)] 1 + 4x = 4[9 + (4 * -5 + x * -5)] 1 + 4x = 4[9 + (-20 + -5x)] Combine like terms: 9 + -20 = -11 1 + 4x = 4[-11 + -5x] 1 + 4x = [-11 * 4 + -5x * 4] 1 + 4x = [-44 + -20x] Solving 1 + 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. 1 + 4x + 20x = -44 + -20x + 20x Combine like terms: 4x + 20x = 24x 1 + 24x = -44 + -20x + 20x Combine like terms: -20x + 20x = 0 1 + 24x = -44 + 0 1 + 24x = -44 Add '-1' to each side of the equation. 1 + -1 + 24x = -44 + -1 Combine like terms: 1 + -1 = 0 0 + 24x = -44 + -1 24x = -44 + -1 Combine like terms: -44 + -1 = -45 24x = -45 Divide each side by '24'. x = -1.875 Simplifying x = -1.875
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