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Simplifying 7(X + 3) = 2(X + -2) Reorder the terms: 7(3 + X) = 2(X + -2) (3 * 7 + X * 7) = 2(X + -2) (21 + 7X) = 2(X + -2) Reorder the terms: 21 + 7X = 2(-2 + X) 21 + 7X = (-2 * 2 + X * 2) 21 + 7X = (-4 + 2X) Solving 21 + 7X = -4 + 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. 21 + 7X + -2X = -4 + 2X + -2X Combine like terms: 7X + -2X = 5X 21 + 5X = -4 + 2X + -2X Combine like terms: 2X + -2X = 0 21 + 5X = -4 + 0 21 + 5X = -4 Add '-21' to each side of the equation. 21 + -21 + 5X = -4 + -21 Combine like terms: 21 + -21 = 0 0 + 5X = -4 + -21 5X = -4 + -21 Combine like terms: -4 + -21 = -25 5X = -25 Divide each side by '5'. X = -5 Simplifying X = -5
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