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Simplifying 13x + 24 = 5x + 256 Reorder the terms: 24 + 13x = 5x + 256 Reorder the terms: 24 + 13x = 256 + 5x Solving 24 + 13x = 256 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 13x + -5x = 256 + 5x + -5x Combine like terms: 13x + -5x = 8x 24 + 8x = 256 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 8x = 256 + 0 24 + 8x = 256 Add '-24' to each side of the equation. 24 + -24 + 8x = 256 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 256 + -24 8x = 256 + -24 Combine like terms: 256 + -24 = 232 8x = 232 Divide each side by '8'. x = 29 Simplifying x = 29
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