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Simplifying 13x + 5 = 5(x + 13) Reorder the terms: 5 + 13x = 5(x + 13) Reorder the terms: 5 + 13x = 5(13 + x) 5 + 13x = (13 * 5 + x * 5) 5 + 13x = (65 + 5x) Solving 5 + 13x = 65 + 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 = 65 + 5x + -5x Combine like terms: 13x + -5x = 8x 5 + 8x = 65 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 8x = 65 + 0 5 + 8x = 65 Add '-5' to each side of the equation. 5 + -5 + 8x = 65 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 65 + -5 8x = 65 + -5 Combine like terms: 65 + -5 = 60 8x = 60 Divide each side by '8'. x = 7.5 Simplifying x = 7.5
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