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Simplifying -5(1 + -3x) = -5(x + 5) (1 * -5 + -3x * -5) = -5(x + 5) (-5 + 15x) = -5(x + 5) Reorder the terms: -5 + 15x = -5(5 + x) -5 + 15x = (5 * -5 + x * -5) -5 + 15x = (-25 + -5x) Solving -5 + 15x = -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. -5 + 15x + 5x = -25 + -5x + 5x Combine like terms: 15x + 5x = 20x -5 + 20x = -25 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 20x = -25 + 0 -5 + 20x = -25 Add '5' to each side of the equation. -5 + 5 + 20x = -25 + 5 Combine like terms: -5 + 5 = 0 0 + 20x = -25 + 5 20x = -25 + 5 Combine like terms: -25 + 5 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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