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Simplifying 26X + 13 = 5(5X + 8) Reorder the terms: 13 + 26X = 5(5X + 8) Reorder the terms: 13 + 26X = 5(8 + 5X) 13 + 26X = (8 * 5 + 5X * 5) 13 + 26X = (40 + 25X) Solving 13 + 26X = 40 + 25X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-25X' to each side of the equation. 13 + 26X + -25X = 40 + 25X + -25X Combine like terms: 26X + -25X = 1X 13 + 1X = 40 + 25X + -25X Combine like terms: 25X + -25X = 0 13 + 1X = 40 + 0 13 + 1X = 40 Add '-13' to each side of the equation. 13 + -13 + 1X = 40 + -13 Combine like terms: 13 + -13 = 0 0 + 1X = 40 + -13 1X = 40 + -13 Combine like terms: 40 + -13 = 27 1X = 27 Divide each side by '1'. X = 27 Simplifying X = 27
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