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Simplifying 2(4x + 17) = 25 + 5x Reorder the terms: 2(17 + 4x) = 25 + 5x (17 * 2 + 4x * 2) = 25 + 5x (34 + 8x) = 25 + 5x Solving 34 + 8x = 25 + 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. 34 + 8x + -5x = 25 + 5x + -5x Combine like terms: 8x + -5x = 3x 34 + 3x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 34 + 3x = 25 + 0 34 + 3x = 25 Add '-34' to each side of the equation. 34 + -34 + 3x = 25 + -34 Combine like terms: 34 + -34 = 0 0 + 3x = 25 + -34 3x = 25 + -34 Combine like terms: 25 + -34 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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