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Simplifying 4(-4(5x + 5) + 5(5x + -5)) = 0 Reorder the terms: 4(-4(5 + 5x) + 5(5x + -5)) = 0 4((5 * -4 + 5x * -4) + 5(5x + -5)) = 0 4((-20 + -20x) + 5(5x + -5)) = 0 Reorder the terms: 4(-20 + -20x + 5(-5 + 5x)) = 0 4(-20 + -20x + (-5 * 5 + 5x * 5)) = 0 4(-20 + -20x + (-25 + 25x)) = 0 Reorder the terms: 4(-20 + -25 + -20x + 25x) = 0 Combine like terms: -20 + -25 = -45 4(-45 + -20x + 25x) = 0 Combine like terms: -20x + 25x = 5x 4(-45 + 5x) = 0 (-45 * 4 + 5x * 4) = 0 (-180 + 20x) = 0 Solving -180 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '180' to each side of the equation. -180 + 180 + 20x = 0 + 180 Combine like terms: -180 + 180 = 0 0 + 20x = 0 + 180 20x = 0 + 180 Combine like terms: 0 + 180 = 180 20x = 180 Divide each side by '20'. x = 9 Simplifying x = 9
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