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Simplifying 7(7 + -3x) = -1(x + 11) (7 * 7 + -3x * 7) = -1(x + 11) (49 + -21x) = -1(x + 11) Reorder the terms: 49 + -21x = -1(11 + x) 49 + -21x = (11 * -1 + x * -1) 49 + -21x = (-11 + -1x) Solving 49 + -21x = -11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 49 + -21x + x = -11 + -1x + x Combine like terms: -21x + x = -20x 49 + -20x = -11 + -1x + x Combine like terms: -1x + x = 0 49 + -20x = -11 + 0 49 + -20x = -11 Add '-49' to each side of the equation. 49 + -49 + -20x = -11 + -49 Combine like terms: 49 + -49 = 0 0 + -20x = -11 + -49 -20x = -11 + -49 Combine like terms: -11 + -49 = -60 -20x = -60 Divide each side by '-20'. x = 3 Simplifying x = 3
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