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Simplifying 13x + 5 = 5x + 21 Reorder the terms: 5 + 13x = 5x + 21 Reorder the terms: 5 + 13x = 21 + 5x Solving 5 + 13x = 21 + 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. 5 + 13x + -5x = 21 + 5x + -5x Combine like terms: 13x + -5x = 8x 5 + 8x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 8x = 21 + 0 5 + 8x = 21 Add '-5' to each side of the equation. 5 + -5 + 8x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 21 + -5 8x = 21 + -5 Combine like terms: 21 + -5 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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