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Simplifying 26X + -2 = 5(5X + 2) + -8 Reorder the terms: -2 + 26X = 5(5X + 2) + -8 Reorder the terms: -2 + 26X = 5(2 + 5X) + -8 -2 + 26X = (2 * 5 + 5X * 5) + -8 -2 + 26X = (10 + 25X) + -8 Reorder the terms: -2 + 26X = 10 + -8 + 25X Combine like terms: 10 + -8 = 2 -2 + 26X = 2 + 25X Solving -2 + 26X = 2 + 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. -2 + 26X + -25X = 2 + 25X + -25X Combine like terms: 26X + -25X = 1X -2 + 1X = 2 + 25X + -25X Combine like terms: 25X + -25X = 0 -2 + 1X = 2 + 0 -2 + 1X = 2 Add '2' to each side of the equation. -2 + 2 + 1X = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 1X = 2 + 2 1X = 2 + 2 Combine like terms: 2 + 2 = 4 1X = 4 Divide each side by '1'. X = 4 Simplifying X = 4
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