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Simplifying -5(1 + -4x) = 8x + 23 (1 * -5 + -4x * -5) = 8x + 23 (-5 + 20x) = 8x + 23 Reorder the terms: -5 + 20x = 23 + 8x Solving -5 + 20x = 23 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 20x + -8x = 23 + 8x + -8x Combine like terms: 20x + -8x = 12x -5 + 12x = 23 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 12x = 23 + 0 -5 + 12x = 23 Add '5' to each side of the equation. -5 + 5 + 12x = 23 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = 23 + 5 12x = 23 + 5 Combine like terms: 23 + 5 = 28 12x = 28 Divide each side by '12'. x = 2.333333333 Simplifying x = 2.333333333
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