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Simplifying -4(x + 5) = -5(x + 4) Reorder the terms: -4(5 + x) = -5(x + 4) (5 * -4 + x * -4) = -5(x + 4) (-20 + -4x) = -5(x + 4) Reorder the terms: -20 + -4x = -5(4 + x) -20 + -4x = (4 * -5 + x * -5) -20 + -4x = (-20 + -5x) Add '20' to each side of the equation. -20 + 20 + -4x = -20 + 20 + -5x Combine like terms: -20 + 20 = 0 0 + -4x = -20 + 20 + -5x -4x = -20 + 20 + -5x Combine like terms: -20 + 20 = 0 -4x = 0 + -5x -4x = -5x Solving -4x = -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. -4x + 5x = -5x + 5x Combine like terms: -4x + 5x = 1x 1x = -5x + 5x Combine like terms: -5x + 5x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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