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Simplifying 2(4x + 3) + 2 = -4(x + 11) Reorder the terms: 2(3 + 4x) + 2 = -4(x + 11) (3 * 2 + 4x * 2) + 2 = -4(x + 11) (6 + 8x) + 2 = -4(x + 11) Reorder the terms: 6 + 2 + 8x = -4(x + 11) Combine like terms: 6 + 2 = 8 8 + 8x = -4(x + 11) Reorder the terms: 8 + 8x = -4(11 + x) 8 + 8x = (11 * -4 + x * -4) 8 + 8x = (-44 + -4x) Solving 8 + 8x = -44 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 8x + 4x = -44 + -4x + 4x Combine like terms: 8x + 4x = 12x 8 + 12x = -44 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 12x = -44 + 0 8 + 12x = -44 Add '-8' to each side of the equation. 8 + -8 + 12x = -44 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = -44 + -8 12x = -44 + -8 Combine like terms: -44 + -8 = -52 12x = -52 Divide each side by '12'. x = -4.333333333 Simplifying x = -4.333333333
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