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Simplifying 6x = 5(x + 13) Reorder the terms: 6x = 5(13 + x) 6x = (13 * 5 + x * 5) 6x = (65 + 5x) Solving 6x = 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. 6x + -5x = 65 + 5x + -5x Combine like terms: 6x + -5x = 1x 1x = 65 + 5x + -5x Combine like terms: 5x + -5x = 0 1x = 65 + 0 1x = 65 Divide each side by '1'. x = 65 Simplifying x = 65
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