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Simplifying 6(X + -6) = 5(X + 5) Reorder the terms: 6(-6 + X) = 5(X + 5) (-6 * 6 + X * 6) = 5(X + 5) (-36 + 6X) = 5(X + 5) Reorder the terms: -36 + 6X = 5(5 + X) -36 + 6X = (5 * 5 + X * 5) -36 + 6X = (25 + 5X) Solving -36 + 6X = 25 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. -36 + 6X + -5X = 25 + 5X + -5X Combine like terms: 6X + -5X = 1X -36 + 1X = 25 + 5X + -5X Combine like terms: 5X + -5X = 0 -36 + 1X = 25 + 0 -36 + 1X = 25 Add '36' to each side of the equation. -36 + 36 + 1X = 25 + 36 Combine like terms: -36 + 36 = 0 0 + 1X = 25 + 36 1X = 25 + 36 Combine like terms: 25 + 36 = 61 1X = 61 Divide each side by '1'. X = 61 Simplifying X = 61
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