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Simplifying -5(1 + 4x) = -5(1 + -11x) (1 * -5 + 4x * -5) = -5(1 + -11x) (-5 + -20x) = -5(1 + -11x) -5 + -20x = (1 * -5 + -11x * -5) -5 + -20x = (-5 + 55x) Add '5' to each side of the equation. -5 + 5 + -20x = -5 + 5 + 55x Combine like terms: -5 + 5 = 0 0 + -20x = -5 + 5 + 55x -20x = -5 + 5 + 55x Combine like terms: -5 + 5 = 0 -20x = 0 + 55x -20x = 55x Solving -20x = 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. -20x + -55x = 55x + -55x Combine like terms: -20x + -55x = -75x -75x = 55x + -55x Combine like terms: 55x + -55x = 0 -75x = 0 Divide each side by '-75'. x = 0 Simplifying x = 0
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