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Simplifying 8 = 4(2 + 5x) + -5(5x + 5) 8 = (2 * 4 + 5x * 4) + -5(5x + 5) 8 = (8 + 20x) + -5(5x + 5) Reorder the terms: 8 = 8 + 20x + -5(5 + 5x) 8 = 8 + 20x + (5 * -5 + 5x * -5) 8 = 8 + 20x + (-25 + -25x) Reorder the terms: 8 = 8 + -25 + 20x + -25x Combine like terms: 8 + -25 = -17 8 = -17 + 20x + -25x Combine like terms: 20x + -25x = -5x 8 = -17 + -5x Solving 8 = -17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 8 + 5x = -17 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 5x = -17 + 0 8 + 5x = -17 Add '-8' to each side of the equation. 8 + -8 + 5x = -17 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -17 + -8 5x = -17 + -8 Combine like terms: -17 + -8 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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