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Simplifying 5(x + -1) = -1(-5 + -4x) Reorder the terms: 5(-1 + x) = -1(-5 + -4x) (-1 * 5 + x * 5) = -1(-5 + -4x) (-5 + 5x) = -1(-5 + -4x) -5 + 5x = (-5 * -1 + -4x * -1) -5 + 5x = (5 + 4x) Solving -5 + 5x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 5x + -4x = 5 + 4x + -4x Combine like terms: 5x + -4x = 1x -5 + 1x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 1x = 5 + 0 -5 + 1x = 5 Add '5' to each side of the equation. -5 + 5 + 1x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 5 + 5 1x = 5 + 5 Combine like terms: 5 + 5 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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