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Simplifying 11(x + 2) = -4(3 + -3x) Reorder the terms: 11(2 + x) = -4(3 + -3x) (2 * 11 + x * 11) = -4(3 + -3x) (22 + 11x) = -4(3 + -3x) 22 + 11x = (3 * -4 + -3x * -4) 22 + 11x = (-12 + 12x) Solving 22 + 11x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 22 + 11x + -12x = -12 + 12x + -12x Combine like terms: 11x + -12x = -1x 22 + -1x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 22 + -1x = -12 + 0 22 + -1x = -12 Add '-22' to each side of the equation. 22 + -22 + -1x = -12 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = -12 + -22 -1x = -12 + -22 Combine like terms: -12 + -22 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34
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