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Simplifying 53x + 51(1 + -1x) = 258 53x + (1 * 51 + -1x * 51) = 258 53x + (51 + -51x) = 258 Reorder the terms: 51 + 53x + -51x = 258 Combine like terms: 53x + -51x = 2x 51 + 2x = 258 Solving 51 + 2x = 258 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 2x = 258 + -51 Combine like terms: 51 + -51 = 0 0 + 2x = 258 + -51 2x = 258 + -51 Combine like terms: 258 + -51 = 207 2x = 207 Divide each side by '2'. x = 103.5 Simplifying x = 103.5
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