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Simplifying 5(X + -5) = 4(X + 3) Reorder the terms: 5(-5 + X) = 4(X + 3) (-5 * 5 + X * 5) = 4(X + 3) (-25 + 5X) = 4(X + 3) Reorder the terms: -25 + 5X = 4(3 + X) -25 + 5X = (3 * 4 + X * 4) -25 + 5X = (12 + 4X) Solving -25 + 5X = 12 + 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. -25 + 5X + -4X = 12 + 4X + -4X Combine like terms: 5X + -4X = 1X -25 + 1X = 12 + 4X + -4X Combine like terms: 4X + -4X = 0 -25 + 1X = 12 + 0 -25 + 1X = 12 Add '25' to each side of the equation. -25 + 25 + 1X = 12 + 25 Combine like terms: -25 + 25 = 0 0 + 1X = 12 + 25 1X = 12 + 25 Combine like terms: 12 + 25 = 37 1X = 37 Divide each side by '1'. X = 37 Simplifying X = 37
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