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Simplifying 12(x + 1) = -11(7x + 7) Reorder the terms: 12(1 + x) = -11(7x + 7) (1 * 12 + x * 12) = -11(7x + 7) (12 + 12x) = -11(7x + 7) Reorder the terms: 12 + 12x = -11(7 + 7x) 12 + 12x = (7 * -11 + 7x * -11) 12 + 12x = (-77 + -77x) Solving 12 + 12x = -77 + -77x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77x' to each side of the equation. 12 + 12x + 77x = -77 + -77x + 77x Combine like terms: 12x + 77x = 89x 12 + 89x = -77 + -77x + 77x Combine like terms: -77x + 77x = 0 12 + 89x = -77 + 0 12 + 89x = -77 Add '-12' to each side of the equation. 12 + -12 + 89x = -77 + -12 Combine like terms: 12 + -12 = 0 0 + 89x = -77 + -12 89x = -77 + -12 Combine like terms: -77 + -12 = -89 89x = -89 Divide each side by '89'. x = -1 Simplifying x = -1
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