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Simplifying 5x + 25(x + -2) = 100 Reorder the terms: 5x + 25(-2 + x) = 100 5x + (-2 * 25 + x * 25) = 100 5x + (-50 + 25x) = 100 Reorder the terms: -50 + 5x + 25x = 100 Combine like terms: 5x + 25x = 30x -50 + 30x = 100 Solving -50 + 30x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 30x = 100 + 50 Combine like terms: -50 + 50 = 0 0 + 30x = 100 + 50 30x = 100 + 50 Combine like terms: 100 + 50 = 150 30x = 150 Divide each side by '30'. x = 5 Simplifying x = 5
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