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Simplifying 5(5x + -4) = 10(2x + 4) Reorder the terms: 5(-4 + 5x) = 10(2x + 4) (-4 * 5 + 5x * 5) = 10(2x + 4) (-20 + 25x) = 10(2x + 4) Reorder the terms: -20 + 25x = 10(4 + 2x) -20 + 25x = (4 * 10 + 2x * 10) -20 + 25x = (40 + 20x) Solving -20 + 25x = 40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -20 + 25x + -20x = 40 + 20x + -20x Combine like terms: 25x + -20x = 5x -20 + 5x = 40 + 20x + -20x Combine like terms: 20x + -20x = 0 -20 + 5x = 40 + 0 -20 + 5x = 40 Add '20' to each side of the equation. -20 + 20 + 5x = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 40 + 20 5x = 40 + 20 Combine like terms: 40 + 20 = 60 5x = 60 Divide each side by '5'. x = 12 Simplifying x = 12
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