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Simplifying -5(4x + -5) + 4x + -1 = 8 Reorder the terms: -5(-5 + 4x) + 4x + -1 = 8 (-5 * -5 + 4x * -5) + 4x + -1 = 8 (25 + -20x) + 4x + -1 = 8 Reorder the terms: 25 + -1 + -20x + 4x = 8 Combine like terms: 25 + -1 = 24 24 + -20x + 4x = 8 Combine like terms: -20x + 4x = -16x 24 + -16x = 8 Solving 24 + -16x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -16x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -16x = 8 + -24 -16x = 8 + -24 Combine like terms: 8 + -24 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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