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Simplifying 5(5 + -4x) = 22 + -20(1 + -5x) (5 * 5 + -4x * 5) = 22 + -20(1 + -5x) (25 + -20x) = 22 + -20(1 + -5x) 25 + -20x = 22 + (1 * -20 + -5x * -20) 25 + -20x = 22 + (-20 + 100x) Combine like terms: 22 + -20 = 2 25 + -20x = 2 + 100x Solving 25 + -20x = 2 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 25 + -20x + -100x = 2 + 100x + -100x Combine like terms: -20x + -100x = -120x 25 + -120x = 2 + 100x + -100x Combine like terms: 100x + -100x = 0 25 + -120x = 2 + 0 25 + -120x = 2 Add '-25' to each side of the equation. 25 + -25 + -120x = 2 + -25 Combine like terms: 25 + -25 = 0 0 + -120x = 2 + -25 -120x = 2 + -25 Combine like terms: 2 + -25 = -23 -120x = -23 Divide each side by '-120'. x = 0.1916666667 Simplifying x = 0.1916666667
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