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Simplifying 5(1 + -5x) + 1 = 5x (1 * 5 + -5x * 5) + 1 = 5x (5 + -25x) + 1 = 5x Reorder the terms: 5 + 1 + -25x = 5x Combine like terms: 5 + 1 = 6 6 + -25x = 5x Solving 6 + -25x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -25x + -5x = 5x + -5x Combine like terms: -25x + -5x = -30x 6 + -30x = 5x + -5x Combine like terms: 5x + -5x = 0 6 + -30x = 0 Add '-6' to each side of the equation. 6 + -6 + -30x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -30x = 0 + -6 -30x = 0 + -6 Combine like terms: 0 + -6 = -6 -30x = -6 Divide each side by '-30'. x = 0.2 Simplifying x = 0.2
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