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Simplifying 105 = 5(1 + 5x) 105 = (1 * 5 + 5x * 5) 105 = (5 + 25x) Solving 105 = 5 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 105 + -25x = 5 + 25x + -25x Combine like terms: 25x + -25x = 0 105 + -25x = 5 + 0 105 + -25x = 5 Add '-105' to each side of the equation. 105 + -105 + -25x = 5 + -105 Combine like terms: 105 + -105 = 0 0 + -25x = 5 + -105 -25x = 5 + -105 Combine like terms: 5 + -105 = -100 -25x = -100 Divide each side by '-25'. x = 4 Simplifying x = 4
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