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Simplifying 7(X + 7) = 9X + 9 + -2x + 40 Reorder the terms: 7(7 + X) = 9X + 9 + -2x + 40 (7 * 7 + X * 7) = 9X + 9 + -2x + 40 (49 + 7X) = 9X + 9 + -2x + 40 Reorder the terms: 49 + 7X = 9 + 40 + 9X + -2x Combine like terms: 9 + 40 = 49 49 + 7X = 49 + 9X + -2x Add '-49' to each side of the equation. 49 + -49 + 7X = 49 + 9X + -49 + -2x Combine like terms: 49 + -49 = 0 0 + 7X = 49 + 9X + -49 + -2x 7X = 49 + 9X + -49 + -2x Reorder the terms: 7X = 49 + -49 + 9X + -2x Combine like terms: 49 + -49 = 0 7X = 0 + 9X + -2x 7X = 9X + -2x Solving 7X = 9X + -2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9X' to each side of the equation. 7X + -9X = 9X + -9X + -2x Combine like terms: 7X + -9X = -2X -2X = 9X + -9X + -2x Combine like terms: 9X + -9X = 0 -2X = 0 + -2x -2X = -2x Divide each side by '-2'. X = x Simplifying X = x
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