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Simplifying -1(1 + -4x) = 2x + 25 (1 * -1 + -4x * -1) = 2x + 25 (-1 + 4x) = 2x + 25 Reorder the terms: -1 + 4x = 25 + 2x Solving -1 + 4x = 25 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 4x + -2x = 25 + 2x + -2x Combine like terms: 4x + -2x = 2x -1 + 2x = 25 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 2x = 25 + 0 -1 + 2x = 25 Add '1' to each side of the equation. -1 + 1 + 2x = 25 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 25 + 1 2x = 25 + 1 Combine like terms: 25 + 1 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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