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Simplifying 51(2x + 5) = 51(x + 9) Reorder the terms: 51(5 + 2x) = 51(x + 9) (5 * 51 + 2x * 51) = 51(x + 9) (255 + 102x) = 51(x + 9) Reorder the terms: 255 + 102x = 51(9 + x) 255 + 102x = (9 * 51 + x * 51) 255 + 102x = (459 + 51x) Solving 255 + 102x = 459 + 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. 255 + 102x + -51x = 459 + 51x + -51x Combine like terms: 102x + -51x = 51x 255 + 51x = 459 + 51x + -51x Combine like terms: 51x + -51x = 0 255 + 51x = 459 + 0 255 + 51x = 459 Add '-255' to each side of the equation. 255 + -255 + 51x = 459 + -255 Combine like terms: 255 + -255 = 0 0 + 51x = 459 + -255 51x = 459 + -255 Combine like terms: 459 + -255 = 204 51x = 204 Divide each side by '51'. x = 4 Simplifying x = 4
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