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Simplifying -1[-5 + -6x] = 4[5x + 3] [-5 * -1 + -6x * -1] = 4[5x + 3] [5 + 6x] = 4[5x + 3] Reorder the terms: 5 + 6x = 4[3 + 5x] 5 + 6x = [3 * 4 + 5x * 4] 5 + 6x = [12 + 20x] Solving 5 + 6x = 12 + 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. 5 + 6x + -20x = 12 + 20x + -20x Combine like terms: 6x + -20x = -14x 5 + -14x = 12 + 20x + -20x Combine like terms: 20x + -20x = 0 5 + -14x = 12 + 0 5 + -14x = 12 Add '-5' to each side of the equation. 5 + -5 + -14x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -14x = 12 + -5 -14x = 12 + -5 Combine like terms: 12 + -5 = 7 -14x = 7 Divide each side by '-14'. x = -0.5 Simplifying x = -0.5
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