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Simplifying -4(1 + 3x) = -4(1 + -5x) (1 * -4 + 3x * -4) = -4(1 + -5x) (-4 + -12x) = -4(1 + -5x) -4 + -12x = (1 * -4 + -5x * -4) -4 + -12x = (-4 + 20x) Add '4' to each side of the equation. -4 + 4 + -12x = -4 + 4 + 20x Combine like terms: -4 + 4 = 0 0 + -12x = -4 + 4 + 20x -12x = -4 + 4 + 20x Combine like terms: -4 + 4 = 0 -12x = 0 + 20x -12x = 20x Solving -12x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -12x + -20x = 20x + -20x Combine like terms: -12x + -20x = -32x -32x = 20x + -20x Combine like terms: 20x + -20x = 0 -32x = 0 Divide each side by '-32'. x = 0 Simplifying x = 0
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