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Simplifying 3x + 39 = 5(5x + -1) Reorder the terms: 39 + 3x = 5(5x + -1) Reorder the terms: 39 + 3x = 5(-1 + 5x) 39 + 3x = (-1 * 5 + 5x * 5) 39 + 3x = (-5 + 25x) Solving 39 + 3x = -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. 39 + 3x + -25x = -5 + 25x + -25x Combine like terms: 3x + -25x = -22x 39 + -22x = -5 + 25x + -25x Combine like terms: 25x + -25x = 0 39 + -22x = -5 + 0 39 + -22x = -5 Add '-39' to each side of the equation. 39 + -39 + -22x = -5 + -39 Combine like terms: 39 + -39 = 0 0 + -22x = -5 + -39 -22x = -5 + -39 Combine like terms: -5 + -39 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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