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Simplifying 5(5x + -1) = 3x + -27 Reorder the terms: 5(-1 + 5x) = 3x + -27 (-1 * 5 + 5x * 5) = 3x + -27 (-5 + 25x) = 3x + -27 Reorder the terms: -5 + 25x = -27 + 3x Solving -5 + 25x = -27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 25x + -3x = -27 + 3x + -3x Combine like terms: 25x + -3x = 22x -5 + 22x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 22x = -27 + 0 -5 + 22x = -27 Add '5' to each side of the equation. -5 + 5 + 22x = -27 + 5 Combine like terms: -5 + 5 = 0 0 + 22x = -27 + 5 22x = -27 + 5 Combine like terms: -27 + 5 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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