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Simplifying x + (5x + 2) * 2 = 25(1 + x) * 2 Reorder the terms: x + (2 + 5x) * 2 = 25(1 + x) * 2 Reorder the terms for easier multiplication: x + 2(2 + 5x) = 25(1 + x) * 2 x + (2 * 2 + 5x * 2) = 25(1 + x) * 2 x + (4 + 10x) = 25(1 + x) * 2 Reorder the terms: 4 + x + 10x = 25(1 + x) * 2 Combine like terms: x + 10x = 11x 4 + 11x = 25(1 + x) * 2 Reorder the terms for easier multiplication: 4 + 11x = 25 * 2(1 + x) Multiply 25 * 2 4 + 11x = 50(1 + x) 4 + 11x = (1 * 50 + x * 50) 4 + 11x = (50 + 50x) Solving 4 + 11x = 50 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 4 + 11x + -50x = 50 + 50x + -50x Combine like terms: 11x + -50x = -39x 4 + -39x = 50 + 50x + -50x Combine like terms: 50x + -50x = 0 4 + -39x = 50 + 0 4 + -39x = 50 Add '-4' to each side of the equation. 4 + -4 + -39x = 50 + -4 Combine like terms: 4 + -4 = 0 0 + -39x = 50 + -4 -39x = 50 + -4 Combine like terms: 50 + -4 = 46 -39x = 46 Divide each side by '-39'. x = -1.179487179 Simplifying x = -1.179487179
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