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Simplifying 5x + 24(x + -4) = 252 Reorder the terms: 5x + 24(-4 + x) = 252 5x + (-4 * 24 + x * 24) = 252 5x + (-96 + 24x) = 252 Reorder the terms: -96 + 5x + 24x = 252 Combine like terms: 5x + 24x = 29x -96 + 29x = 252 Solving -96 + 29x = 252 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + 29x = 252 + 96 Combine like terms: -96 + 96 = 0 0 + 29x = 252 + 96 29x = 252 + 96 Combine like terms: 252 + 96 = 348 29x = 348 Divide each side by '29'. x = 12 Simplifying x = 12
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