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Simplifying 5x + 24(x + -2) = 271 Reorder the terms: 5x + 24(-2 + x) = 271 5x + (-2 * 24 + x * 24) = 271 5x + (-48 + 24x) = 271 Reorder the terms: -48 + 5x + 24x = 271 Combine like terms: 5x + 24x = 29x -48 + 29x = 271 Solving -48 + 29x = 271 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 29x = 271 + 48 Combine like terms: -48 + 48 = 0 0 + 29x = 271 + 48 29x = 271 + 48 Combine like terms: 271 + 48 = 319 29x = 319 Divide each side by '29'. x = 11 Simplifying x = 11
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