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Simplifying 53x = 26(2x + 1) Reorder the terms: 53x = 26(1 + 2x) 53x = (1 * 26 + 2x * 26) 53x = (26 + 52x) Solving 53x = 26 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 53x + -52x = 26 + 52x + -52x Combine like terms: 53x + -52x = 1x 1x = 26 + 52x + -52x Combine like terms: 52x + -52x = 0 1x = 26 + 0 1x = 26 Divide each side by '1'. x = 26 Simplifying x = 26
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