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Simplifying 75 = -5[4x + 1] Reorder the terms: 75 = -5[1 + 4x] 75 = [1 * -5 + 4x * -5] 75 = [-5 + -20x] Solving 75 = -5 + -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. 75 + 20x = -5 + -20x + 20x Combine like terms: -20x + 20x = 0 75 + 20x = -5 + 0 75 + 20x = -5 Add '-75' to each side of the equation. 75 + -75 + 20x = -5 + -75 Combine like terms: 75 + -75 = 0 0 + 20x = -5 + -75 20x = -5 + -75 Combine like terms: -5 + -75 = -80 20x = -80 Divide each side by '20'. x = -4 Simplifying x = -4
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