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Simplifying 5x + 25(x + -4) = 100 Reorder the terms: 5x + 25(-4 + x) = 100 5x + (-4 * 25 + x * 25) = 100 5x + (-100 + 25x) = 100 Reorder the terms: -100 + 5x + 25x = 100 Combine like terms: 5x + 25x = 30x -100 + 30x = 100 Solving -100 + 30x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 30x = 100 + 100 Combine like terms: -100 + 100 = 0 0 + 30x = 100 + 100 30x = 100 + 100 Combine like terms: 100 + 100 = 200 30x = 200 Divide each side by '30'. x = 6.666666667 Simplifying x = 6.666666667
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