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Simplifying 5(4x + -5) = 8x + 35 Reorder the terms: 5(-5 + 4x) = 8x + 35 (-5 * 5 + 4x * 5) = 8x + 35 (-25 + 20x) = 8x + 35 Reorder the terms: -25 + 20x = 35 + 8x Solving -25 + 20x = 35 + 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. -25 + 20x + -8x = 35 + 8x + -8x Combine like terms: 20x + -8x = 12x -25 + 12x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 -25 + 12x = 35 + 0 -25 + 12x = 35 Add '25' to each side of the equation. -25 + 25 + 12x = 35 + 25 Combine like terms: -25 + 25 = 0 0 + 12x = 35 + 25 12x = 35 + 25 Combine like terms: 35 + 25 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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