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Simplifying 3(4x + 3) = 11(x + -5) Reorder the terms: 3(3 + 4x) = 11(x + -5) (3 * 3 + 4x * 3) = 11(x + -5) (9 + 12x) = 11(x + -5) Reorder the terms: 9 + 12x = 11(-5 + x) 9 + 12x = (-5 * 11 + x * 11) 9 + 12x = (-55 + 11x) Solving 9 + 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. 9 + 12x + -11x = -55 + 11x + -11x Combine like terms: 12x + -11x = 1x 9 + 1x = -55 + 11x + -11x Combine like terms: 11x + -11x = 0 9 + 1x = -55 + 0 9 + 1x = -55 Add '-9' to each side of the equation. 9 + -9 + 1x = -55 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -55 + -9 1x = -55 + -9 Combine like terms: -55 + -9 = -64 1x = -64 Divide each side by '1'. x = -64 Simplifying x = -64
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