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Simplifying 3(4x + 3) = 11(x + -4) Reorder the terms: 3(3 + 4x) = 11(x + -4) (3 * 3 + 4x * 3) = 11(x + -4) (9 + 12x) = 11(x + -4) Reorder the terms: 9 + 12x = 11(-4 + x) 9 + 12x = (-4 * 11 + x * 11) 9 + 12x = (-44 + 11x) Solving 9 + 12x = -44 + 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 = -44 + 11x + -11x Combine like terms: 12x + -11x = 1x 9 + 1x = -44 + 11x + -11x Combine like terms: 11x + -11x = 0 9 + 1x = -44 + 0 9 + 1x = -44 Add '-9' to each side of the equation. 9 + -9 + 1x = -44 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -44 + -9 1x = -44 + -9 Combine like terms: -44 + -9 = -53 1x = -53 Divide each side by '1'. x = -53 Simplifying x = -53
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