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Simplifying 3(X + -5) = 5(X + 7) Reorder the terms: 3(-5 + X) = 5(X + 7) (-5 * 3 + X * 3) = 5(X + 7) (-15 + 3X) = 5(X + 7) Reorder the terms: -15 + 3X = 5(7 + X) -15 + 3X = (7 * 5 + X * 5) -15 + 3X = (35 + 5X) Solving -15 + 3X = 35 + 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. -15 + 3X + -5X = 35 + 5X + -5X Combine like terms: 3X + -5X = -2X -15 + -2X = 35 + 5X + -5X Combine like terms: 5X + -5X = 0 -15 + -2X = 35 + 0 -15 + -2X = 35 Add '15' to each side of the equation. -15 + 15 + -2X = 35 + 15 Combine like terms: -15 + 15 = 0 0 + -2X = 35 + 15 -2X = 35 + 15 Combine like terms: 35 + 15 = 50 -2X = 50 Divide each side by '-2'. X = -25 Simplifying X = -25
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