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Simplifying 5(4x + -5) = 4x + 7 Reorder the terms: 5(-5 + 4x) = 4x + 7 (-5 * 5 + 4x * 5) = 4x + 7 (-25 + 20x) = 4x + 7 Reorder the terms: -25 + 20x = 7 + 4x Solving -25 + 20x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -25 + 20x + -4x = 7 + 4x + -4x Combine like terms: 20x + -4x = 16x -25 + 16x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -25 + 16x = 7 + 0 -25 + 16x = 7 Add '25' to each side of the equation. -25 + 25 + 16x = 7 + 25 Combine like terms: -25 + 25 = 0 0 + 16x = 7 + 25 16x = 7 + 25 Combine like terms: 7 + 25 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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