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Simplifying 5(X + 3) = 2(X + 7) Reorder the terms: 5(3 + X) = 2(X + 7) (3 * 5 + X * 5) = 2(X + 7) (15 + 5X) = 2(X + 7) Reorder the terms: 15 + 5X = 2(7 + X) 15 + 5X = (7 * 2 + X * 2) 15 + 5X = (14 + 2X) Solving 15 + 5X = 14 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. 15 + 5X + -2X = 14 + 2X + -2X Combine like terms: 5X + -2X = 3X 15 + 3X = 14 + 2X + -2X Combine like terms: 2X + -2X = 0 15 + 3X = 14 + 0 15 + 3X = 14 Add '-15' to each side of the equation. 15 + -15 + 3X = 14 + -15 Combine like terms: 15 + -15 = 0 0 + 3X = 14 + -15 3X = 14 + -15 Combine like terms: 14 + -15 = -1 3X = -1 Divide each side by '3'. X = -0.3333333333 Simplifying X = -0.3333333333
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