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Simplifying 7(x + 7) = 9(2 + -1x) + -2 Reorder the terms: 7(7 + x) = 9(2 + -1x) + -2 (7 * 7 + x * 7) = 9(2 + -1x) + -2 (49 + 7x) = 9(2 + -1x) + -2 49 + 7x = (2 * 9 + -1x * 9) + -2 49 + 7x = (18 + -9x) + -2 Reorder the terms: 49 + 7x = 18 + -2 + -9x Combine like terms: 18 + -2 = 16 49 + 7x = 16 + -9x Solving 49 + 7x = 16 + -9x 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. 49 + 7x + 9x = 16 + -9x + 9x Combine like terms: 7x + 9x = 16x 49 + 16x = 16 + -9x + 9x Combine like terms: -9x + 9x = 0 49 + 16x = 16 + 0 49 + 16x = 16 Add '-49' to each side of the equation. 49 + -49 + 16x = 16 + -49 Combine like terms: 49 + -49 = 0 0 + 16x = 16 + -49 16x = 16 + -49 Combine like terms: 16 + -49 = -33 16x = -33 Divide each side by '16'. x = -2.0625 Simplifying x = -2.0625
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