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Simplifying 7(x + 7) = -11 + -8x Reorder the terms: 7(7 + x) = -11 + -8x (7 * 7 + x * 7) = -11 + -8x (49 + 7x) = -11 + -8x Solving 49 + 7x = -11 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 49 + 7x + 8x = -11 + -8x + 8x Combine like terms: 7x + 8x = 15x 49 + 15x = -11 + -8x + 8x Combine like terms: -8x + 8x = 0 49 + 15x = -11 + 0 49 + 15x = -11 Add '-49' to each side of the equation. 49 + -49 + 15x = -11 + -49 Combine like terms: 49 + -49 = 0 0 + 15x = -11 + -49 15x = -11 + -49 Combine like terms: -11 + -49 = -60 15x = -60 Divide each side by '15'. x = -4 Simplifying x = -4
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