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Simplifying 5(X + -1) = 4(X + 6) Reorder the terms: 5(-1 + X) = 4(X + 6) (-1 * 5 + X * 5) = 4(X + 6) (-5 + 5X) = 4(X + 6) Reorder the terms: -5 + 5X = 4(6 + X) -5 + 5X = (6 * 4 + X * 4) -5 + 5X = (24 + 4X) Solving -5 + 5X = 24 + 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. -5 + 5X + -4X = 24 + 4X + -4X Combine like terms: 5X + -4X = 1X -5 + 1X = 24 + 4X + -4X Combine like terms: 4X + -4X = 0 -5 + 1X = 24 + 0 -5 + 1X = 24 Add '5' to each side of the equation. -5 + 5 + 1X = 24 + 5 Combine like terms: -5 + 5 = 0 0 + 1X = 24 + 5 1X = 24 + 5 Combine like terms: 24 + 5 = 29 1X = 29 Divide each side by '1'. X = 29 Simplifying X = 29
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