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Simplifying 5(X + 8) = 8(X + 1) Reorder the terms: 5(8 + X) = 8(X + 1) (8 * 5 + X * 5) = 8(X + 1) (40 + 5X) = 8(X + 1) Reorder the terms: 40 + 5X = 8(1 + X) 40 + 5X = (1 * 8 + X * 8) 40 + 5X = (8 + 8X) Solving 40 + 5X = 8 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. 40 + 5X + -8X = 8 + 8X + -8X Combine like terms: 5X + -8X = -3X 40 + -3X = 8 + 8X + -8X Combine like terms: 8X + -8X = 0 40 + -3X = 8 + 0 40 + -3X = 8 Add '-40' to each side of the equation. 40 + -40 + -3X = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -3X = 8 + -40 -3X = 8 + -40 Combine like terms: 8 + -40 = -32 -3X = -32 Divide each side by '-3'. X = 10.66666667 Simplifying X = 10.66666667
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