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Simplifying 3(4x + 4) = 11(x + -5) Reorder the terms: 3(4 + 4x) = 11(x + -5) (4 * 3 + 4x * 3) = 11(x + -5) (12 + 12x) = 11(x + -5) Reorder the terms: 12 + 12x = 11(-5 + x) 12 + 12x = (-5 * 11 + x * 11) 12 + 12x = (-55 + 11x) Solving 12 + 12x = -55 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 12 + 12x + -11x = -55 + 11x + -11x Combine like terms: 12x + -11x = 1x 12 + 1x = -55 + 11x + -11x Combine like terms: 11x + -11x = 0 12 + 1x = -55 + 0 12 + 1x = -55 Add '-12' to each side of the equation. 12 + -12 + 1x = -55 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -55 + -12 1x = -55 + -12 Combine like terms: -55 + -12 = -67 1x = -67 Divide each side by '1'. x = -67 Simplifying x = -67
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