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Simplifying 2(x + 11) = -7(5 + -3x) Reorder the terms: 2(11 + x) = -7(5 + -3x) (11 * 2 + x * 2) = -7(5 + -3x) (22 + 2x) = -7(5 + -3x) 22 + 2x = (5 * -7 + -3x * -7) 22 + 2x = (-35 + 21x) Solving 22 + 2x = -35 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 22 + 2x + -21x = -35 + 21x + -21x Combine like terms: 2x + -21x = -19x 22 + -19x = -35 + 21x + -21x Combine like terms: 21x + -21x = 0 22 + -19x = -35 + 0 22 + -19x = -35 Add '-22' to each side of the equation. 22 + -22 + -19x = -35 + -22 Combine like terms: 22 + -22 = 0 0 + -19x = -35 + -22 -19x = -35 + -22 Combine like terms: -35 + -22 = -57 -19x = -57 Divide each side by '-19'. x = 3 Simplifying x = 3
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