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Simplifying 5(x + -50) = x + 50 Reorder the terms: 5(-50 + x) = x + 50 (-50 * 5 + x * 5) = x + 50 (-250 + 5x) = x + 50 Reorder the terms: -250 + 5x = 50 + x Solving -250 + 5x = 50 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -250 + 5x + -1x = 50 + x + -1x Combine like terms: 5x + -1x = 4x -250 + 4x = 50 + x + -1x Combine like terms: x + -1x = 0 -250 + 4x = 50 + 0 -250 + 4x = 50 Add '250' to each side of the equation. -250 + 250 + 4x = 50 + 250 Combine like terms: -250 + 250 = 0 0 + 4x = 50 + 250 4x = 50 + 250 Combine like terms: 50 + 250 = 300 4x = 300 Divide each side by '4'. x = 75 Simplifying x = 75
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